11601972 has 36 divisors (see below), whose sum is σ = 30341220. Its totient is φ = 3733632.

The previous prime is 11601949. The next prime is 11601977. The reversal of 11601972 is 27910611.

It can be written as a sum of positive squares in 2 ways, for example, as 2090916 + 9511056 = 1446^2 + 3084^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11601977) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4513 + ... + 6600.

Almost surely, 2^11601972 is an apocalyptic number.

11601972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11601972 is an abundant number, since it is smaller than the sum of its proper divisors (18739248).

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

11601972 is a wasteful number, since it uses less digits than its factorization.

11601972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11152 (or 11147 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 11601972 is about 3406.1667604508. The cubic root of 11601972 is about 226.3830661126.

The spelling of 11601972 in words is "eleven million, six hundred one thousand, nine hundred seventy-two".