1054599840 has 144 divisors (see below), whose sum is σ = 4112978688. Its totient is φ = 241049088.

The previous prime is 1054599803. The next prime is 1054599907. The reversal of 1054599840 is 489954501.

1054599840 is a `hidden beast` number, since 1 + 0 + 54 + 599 + 8 + 4 + 0 = 666.

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

It is a super-2 number, since 2×1054599840² = 2224361645056051200, which contains 22 as substring.

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

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, 42232 + ... + 62391.

It is an arithmetic number, because the mean of its divisors is an integer number (28562352).

Almost surely, 2^1054599840 is an apocalyptic number.

1054599840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1054599840 is an abundant number, since it is smaller than the sum of its proper divisors (3058378848).

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

1054599840 is a wasteful number, since it uses less digits than its factorization.

1054599840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104651 (or 104640 counting only the distinct ones).

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

The square root of 1054599840 is about 32474.6029998828. The cubic root of 1054599840 is about 1017.8784044523.

The spelling of 1054599840 in words is "one billion, fifty-four million, five hundred ninety-nine thousand, eight hundred forty".