10677864 has 32 divisors (see below), whose sum is σ = 27000000. Its totient is φ = 3518592.

The previous prime is 10677859. The next prime is 10677881. The reversal of 10677864 is 46877601.

10677864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10677864² = 228033559204992, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 364 + ... + 4635.

It is an arithmetic number, because the mean of its divisors is an integer number (843750).

Almost surely, 2^10677864 is an apocalyptic number.

It is an amenable number.

10677864 is an abundant number, since it is smaller than the sum of its proper divisors (16322136).

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

10677864 is a wasteful number, since it uses less digits than its factorization.

10677864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5097 (or 5093 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 10677864 is about 3267.7001086391. The cubic root of 10677864 is about 220.2054829476.

The spelling of 10677864 in words is "ten million, six hundred seventy-seven thousand, eight hundred sixty-four".