1059884640 has 144 divisors (see below), whose sum is σ = 3701185488. Its totient is φ = 276046848.

The previous prime is 1059884633. The next prime is 1059884671. The reversal of 1059884640 is 464889501.

1059884640 is a `hidden beast` number, since 10 + 598 + 8 + 4 + 6 + 40 = 666.

1059884640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1059884640² = 2246710900215859200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53362 + ... + 70478.

It is an arithmetic number, because the mean of its divisors is an integer number (25702677).

Almost surely, 2^1059884640 is an apocalyptic number.

1059884640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1059884640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850592744).

1059884640 is an abundant number, since it is smaller than the sum of its proper divisors (2641300848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1059884640 is a wasteful number, since it uses less digits than its factorization.

1059884640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17181 (or 17170 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 1059884640 is about 32555.8695168782. The cubic root of 1059884640 is about 1019.5758328617.

The spelling of 1059884640 in words is "one billion, fifty-nine million, eight hundred eighty-four thousand, six hundred forty".