1054995840 has 320 divisors, whose sum is σ = 3856628160. Its totient is φ = 274710528.

The previous prime is 1054995839. The next prime is 1054995847. The reversal of 1054995840 is 485994501.

1054995840 is a `hidden beast` number, since 10 + 54 + 9 + 9 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×1054995840² = 2226032444834611200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054995847) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2436264 + ... + 2436696.

It is an arithmetic number, because the mean of its divisors is an integer number (12051963).

Almost surely, 2^1054995840 is an apocalyptic number.

1054995840 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 1054995840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1928314080).

1054995840 is an abundant number, since it is smaller than the sum of its proper divisors (2801632320).

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

1054995840 is an equidigital number, since it uses as much as digits as its factorization.

1054995840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 1054995840 is about 32480.6994998568. The cubic root of 1054995840 is about 1018.0057922354.

The spelling of 1054995840 in words is "one billion, fifty-four million, nine hundred ninety-five thousand, eight hundred forty".