10627364 has 48 divisors (see below), whose sum is σ = 21422016. Its totient is φ = 4569600.

The previous prime is 10627361. The next prime is 10627367. The reversal of 10627364 is 46372601.

It is an interprime number because it is at equal distance from previous prime (10627361) and next prime (10627367).

It is a super-2 number, since 2×10627364² = 225881731176992, 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 (10627361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77504 + ... + 77640.

It is an arithmetic number, because the mean of its divisors is an integer number (446292).

Almost surely, 2^10627364 is an apocalyptic number.

It is an amenable number.

10627364 is an abundant number, since it is smaller than the sum of its proper divisors (10794652).

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

10627364 is a wasteful number, since it uses less digits than its factorization.

10627364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 10627364 is about 3259.9638034800. The cubic root of 10627364 is about 219.8577868778.

Adding to 10627364 its reverse (46372601), we get a palindrome (56999965).

The spelling of 10627364 in words is "ten million, six hundred twenty-seven thousand, three hundred sixty-four".