36618624 has 192 divisors, whose sum is σ = 127296000. Its totient is φ = 9870336.

The previous prime is 36618623. The next prime is 36618679. The reversal of 36618624 is 42681663.

36618624 is a `hidden beast` number, since 36 + 618 + 6 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×36618624³ (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36618623) 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, 153097 + ... + 153335.

It is an arithmetic number, because the mean of its divisors is an integer number (663000).

Almost surely, 2^36618624 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 36618624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63648000).

36618624 is an abundant number, since it is smaller than the sum of its proper divisors (90677376).

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

36618624 is a wasteful number, since it uses less digits than its factorization.

36618624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 270 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 36618624 is about 6051.3324152619. The cubic root of 36618624 is about 332.0733374544.

The spelling of 36618624 in words is "thirty-six million, six hundred eighteen thousand, six hundred twenty-four".