36112624 has 40 divisors (see below), whose sum is σ = 74861280. Its totient is φ = 16816128.

The previous prime is 36112619. The next prime is 36112631. The reversal of 36112624 is 42621163.

It is a super-2 number, since 2×36112624² = 2608243224330752, which contains 22 as substring.

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27372 + ... + 28660.

It is an arithmetic number, because the mean of its divisors is an integer number (1871532).

Almost surely, 2^36112624 is an apocalyptic number.

36112624 is a gapful number since it is divisible by the number (34) 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 36112624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37430640).

36112624 is an abundant number, since it is smaller than the sum of its proper divisors (38748656).

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

36112624 is a wasteful number, since it uses less digits than its factorization.

With its successor (36112625) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (1417).

36112624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417 (or 1411 counting only the distinct ones).

The product of its digits is 1728, while the sum is 25.

The square root of 36112624 is about 6009.3780044194. The cubic root of 36112624 is about 330.5366963052.

Adding to 36112624 its reverse (42621163), we get a palindrome (78733787).

The spelling of 36112624 in words is "thirty-six million, one hundred twelve thousand, six hundred twenty-four".