10577642 has 16 divisors (see below), whose sum is σ = 16783200. Its totient is φ = 4986000.

The previous prime is 10577639. The next prime is 10577657. The reversal of 10577642 is 24677501.

10577642 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 2×10577642² = 223773020560328, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10577599 and 10577608.

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, 8984 + ... + 10092.

It is an arithmetic number, because the mean of its divisors is an integer number (1048950).

Almost surely, 2^10577642 is an apocalyptic number.

10577642 is a deficient number, since it is larger than the sum of its proper divisors (6205558).

10577642 is a wasteful number, since it uses less digits than its factorization.

10577642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381.

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 10577642 is about 3252.3287041749. The cubic root of 10577642 is about 219.5143695742.

The spelling of 10577642 in words is "ten million, five hundred seventy-seven thousand, six hundred forty-two".