1077646140 has 96 divisors (see below), whose sum is σ = 3498485760. Its totient is φ = 274874688.

The previous prime is 1077646121. The next prime is 1077646153. The reversal of 1077646140 is 416467701.

1077646140 is a `hidden beast` number, since 1 + 0 + 7 + 7 + 646 + 1 + 4 + 0 = 666.

It is a super-2 number, since 2×1077646140² = 2322642406113799200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1077646095 and 1077646104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30964 + ... + 55803.

It is an arithmetic number, because the mean of its divisors is an integer number (36442560).

Almost surely, 2^1077646140 is an apocalyptic number.

1077646140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1077646140 is an abundant number, since it is smaller than the sum of its proper divisors (2420839620).

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

1077646140 is a wasteful number, since it uses less digits than its factorization.

1077646140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86808 (or 86800 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1077646140 is about 32827.5210760727. The cubic root of 1077646140 is about 1025.2396473167.

The spelling of 1077646140 in words is "one billion, seventy-seven million, six hundred forty-six thousand, one hundred forty".