23137632 has 144 divisors (see below), whose sum is σ = 78624000. Its totient is φ = 6310656.

The previous prime is 23137619. The next prime is 23137633. The reversal of 23137632 is 23673132.

23137632 is a `hidden beast` number, since 23 + 1 + 3 + 7 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 23137596 and 23137605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23137633) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46119 + ... + 46617.

It is an arithmetic number, because the mean of its divisors is an integer number (546000).

Almost surely, 2^23137632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23137632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39312000).

23137632 is an abundant number, since it is smaller than the sum of its proper divisors (55486368).

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

23137632 is a wasteful number, since it uses less digits than its factorization.

23137632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 534 counting only the distinct ones).

The product of its digits is 4536, while the sum is 27.

The square root of 23137632 is about 4810.1592489231. The cubic root of 23137632 is about 284.9528269107.

The spelling of 23137632 in words is "twenty-three million, one hundred thirty-seven thousand, six hundred thirty-two".