1038022560 has 96 divisors (see below), whose sum is σ = 3633094080. Its totient is φ = 276804864.

The previous prime is 1038022553. The next prime is 1038022571. The reversal of 1038022560 is 652208301.

1038022560 is a `hidden beast` number, since 1 + 0 + 3 + 80 + 22 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115822 + ... + 124461.

It is an arithmetic number, because the mean of its divisors is an integer number (37844730).

Almost surely, 2^1038022560 is an apocalyptic number.

1038022560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1038022560 is an abundant number, since it is smaller than the sum of its proper divisors (2595071520).

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

1038022560 is a wasteful number, since it uses less digits than its factorization.

1038022560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240307 (or 240293 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1038022560 is about 32218.3575000340. The cubic root of 1038022560 is about 1012.5168611733.

The spelling of 1038022560 in words is "one billion, thirty-eight million, twenty-two thousand, five hundred sixty".