36993024 has 120 divisors (see below), whose sum is σ = 110990880. Its totient is φ = 12275712.

The previous prime is 36993001. The next prime is 36993031. The reversal of 36993024 is 42039963.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 36993024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 165777 + ... + 165999.

It is an arithmetic number, because the mean of its divisors is an integer number (924924).

Almost surely, 2^36993024 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 36993024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55495440).

36993024 is an abundant number, since it is smaller than the sum of its proper divisors (73997856).

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

36993024 is an equidigital number, since it uses as much as digits as its factorization.

36993024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 36993024 is about 6082.1890795995. The cubic root of 36993024 is about 333.2012418847.

The spelling of 36993024 in words is "thirty-six million, nine hundred ninety-three thousand, twenty-four".