112632564 has 72 divisors (see below), whose sum is σ = 299894112. Its totient is φ = 32626880.

The previous prime is 112632529. The next prime is 112632571. The reversal of 112632564 is 465236211.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69022 + ... + 70634.

It is an arithmetic number, because the mean of its divisors is an integer number (4165196).

Almost surely, 2^112632564 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 112632564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149947056).

112632564 is an abundant number, since it is smaller than the sum of its proper divisors (187261548).

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

112632564 is a wasteful number, since it uses less digits than its factorization.

112632564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677 (or 1652 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 112632564 is about 10612.8490048620. The cubic root of 112632564 is about 482.9342314077.

Adding to 112632564 its reverse (465236211), we get a palindrome (577868775).

The spelling of 112632564 in words is "one hundred twelve million, six hundred thirty-two thousand, five hundred sixty-four".