11462720 has 56 divisors (see below), whose sum is σ = 27624024. Its totient is φ = 4530176.

The previous prime is 11462699. The next prime is 11462723. The reversal of 11462720 is 2726411.

It can be written as a sum of positive squares in 4 ways, for example, as 861184 + 10601536 = 928^2 + 3256^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (11462723) 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, 36002 + ... + 36318.

Almost surely, 2^11462720 is an apocalyptic number.

11462720 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 11462720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13812012).

11462720 is an abundant number, since it is smaller than the sum of its proper divisors (16161304).

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

11462720 is a wasteful number, since it uses less digits than its factorization.

11462720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 11462720 is about 3385.6638935370. The cubic root of 11462720 is about 225.4737015855.

The spelling of 11462720 in words is "eleven million, four hundred sixty-two thousand, seven hundred twenty".