36316920 has 64 divisors (see below), whose sum is σ = 109854720. Its totient is φ = 9604224.

The previous prime is 36316909. The next prime is 36316949. The reversal of 36316920 is 2961363.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14049 + ... + 16431.

It is an arithmetic number, because the mean of its divisors is an integer number (1716480).

Almost surely, 2^36316920 is an apocalyptic number.

36316920 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 36316920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54927360).

36316920 is an abundant number, since it is smaller than the sum of its proper divisors (73537800).

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

36316920 is a wasteful number, since it uses less digits than its factorization.

36316920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2524 (or 2520 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 36316920 is about 6026.3521304351. The cubic root of 36316920 is about 331.1588276435.

The spelling of 36316920 in words is "thirty-six million, three hundred sixteen thousand, nine hundred twenty".