1077633560 has 32 divisors (see below), whose sum is σ = 2440962000. Its totient is φ = 428158080.

The previous prime is 1077633541. The next prime is 1077633581. The reversal of 1077633560 is 653367701.

It is a super-2 number, since 2×1077633560² = 2322588179276547200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84446 + ... + 96365.

Almost surely, 2^1077633560 is an apocalyptic number.

1077633560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1077633560 is an abundant number, since it is smaller than the sum of its proper divisors (1363328440).

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

1077633560 is a wasteful number, since it uses less digits than its factorization.

1077633560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180971 (or 180967 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 38.

The square root of 1077633560 is about 32827.3294679905. The cubic root of 1077633560 is about 1025.2356578919.

The spelling of 1077633560 in words is "one billion, seventy-seven million, six hundred thirty-three thousand, five hundred sixty".