10701264 has 40 divisors (see below), whose sum is σ = 31595200. Its totient is φ = 3057408.

The previous prime is 10701247. The next prime is 10701269. The reversal of 10701264 is 46210701.

It is a super-2 number, since 2×10701264² = 229034102395392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 10701264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10701269) 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, 15589 + ... + 16260.

It is an arithmetic number, because the mean of its divisors is an integer number (789880).

Almost surely, 2^10701264 is an apocalyptic number.

10701264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10701264 is an abundant number, since it is smaller than the sum of its proper divisors (20893936).

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

10701264 is a wasteful number, since it uses less digits than its factorization.

10701264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31867 (or 31861 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 10701264 is about 3271.2786490912. The cubic root of 10701264 is about 220.3662219879.

Adding to 10701264 its reverse (46210701), we get a palindrome (56911965).

The spelling of 10701264 in words is "ten million, seven hundred one thousand, two hundred sixty-four".