10536720 has 80 divisors (see below), whose sum is σ = 33456192. Its totient is φ = 2741760.

The previous prime is 10536709. The next prime is 10536727. The reversal of 10536720 is 2763501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10536720² = 222044936716800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10536727) 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, 9810 + ... + 10830.

Almost surely, 2^10536720 is an apocalyptic number.

10536720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10536720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16728096).

10536720 is an abundant number, since it is smaller than the sum of its proper divisors (22919472).

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

10536720 is a wasteful number, since it uses less digits than its factorization.

10536720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 10536720 is about 3246.0314231381. The cubic root of 10536720 is about 219.2309234083.

The spelling of 10536720 in words is "ten million, five hundred thirty-six thousand, seven hundred twenty".