36624060 has 144 divisors (see below), whose sum is σ = 123832800. Its totient is φ = 8686080.

The previous prime is 36624041. The next prime is 36624061. The reversal of 36624060 is 6042663.

36624060 is a `hidden beast` number, since 36 + 624 + 0 + 6 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36624061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104766 + ... + 105114.

It is an arithmetic number, because the mean of its divisors is an integer number (859950).

Almost surely, 2^36624060 is an apocalyptic number.

36624060 is a gapful number since it is divisible by the number (30) 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 36624060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61916400).

36624060 is an abundant number, since it is smaller than the sum of its proper divisors (87208740).

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

36624060 is a wasteful number, since it uses less digits than its factorization.

36624060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 36624060 is about 6051.7815558726. The cubic root of 36624060 is about 332.0897686321.

The spelling of 36624060 in words is "thirty-six million, six hundred twenty-four thousand, sixty".