10629164 has 24 divisors (see below), whose sum is σ = 22894368. Its totient is φ = 4204800.

The previous prime is 10629149. The next prime is 10629169. The reversal of 10629164 is 46192601.

It is a super-2 number, since 2×10629164² = 225958254677792, which contains 22 as substring.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10629169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14237 + ... + 14964.

It is an arithmetic number, because the mean of its divisors is an integer number (953932).

Almost surely, 2^10629164 is an apocalyptic number.

10629164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10629164 is an abundant number, since it is smaller than the sum of its proper divisors (12265204).

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

10629164 is a wasteful number, since it uses less digits than its factorization.

10629164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29225 (or 29223 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 10629164 is about 3260.2398684759. The cubic root of 10629164 is about 219.8701989139.

The spelling of 10629164 in words is "ten million, six hundred twenty-nine thousand, one hundred sixty-four".