36124032 has 128 divisors (see below), whose sum is σ = 111628800. Its totient is φ = 10137600.

The previous prime is 36124027. The next prime is 36124091. The reversal of 36124032 is 23042163.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239157 + ... + 239307.

It is an arithmetic number, because the mean of its divisors is an integer number (872100).

Almost surely, 2^36124032 is an apocalyptic number.

36124032 is a gapful number since it is divisible by the number (32) 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 36124032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55814400).

36124032 is an abundant number, since it is smaller than the sum of its proper divisors (75504768).

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

36124032 is a wasteful number, since it uses less digits than its factorization.

36124032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 36124032 is about 6010.3271125622. The cubic root of 36124032 is about 330.5714982223.

Adding to 36124032 its reverse (23042163), we get a palindrome (59166195).

The spelling of 36124032 in words is "thirty-six million, one hundred twenty-four thousand, thirty-two".