36624042 has 128 divisors (see below), whose sum is σ = 104025600. Its totient is φ = 9289728.

The previous prime is 36624041. The next prime is 36624061. The reversal of 36624042 is 24042663.

36624042 is a `hidden beast` number, since 36 + 624 + 0 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 36623997 and 36624015.

It is not an unprimeable number, because it can be changed into a prime (36624041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 142378 + ... + 142634.

It is an arithmetic number, because the mean of its divisors is an integer number (812700).

Almost surely, 2^36624042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36624042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52012800).

36624042 is an abundant number, since it is smaller than the sum of its proper divisors (67401558).

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

36624042 is a wasteful number, since it uses less digits than its factorization.

36624042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 36624042 is about 6051.7800687071. The cubic root of 36624042 is about 332.0897142269.

The spelling of 36624042 in words is "thirty-six million, six hundred twenty-four thousand, forty-two".