36367920 has 160 divisors (see below), whose sum is σ = 127224000. Its totient is φ = 9547776.

The previous prime is 36367901. The next prime is 36367921. The reversal of 36367920 is 2976363.

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

It is not an unprimeable number, because it can be changed into a prime (36367921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244006 + ... + 244154.

It is an arithmetic number, because the mean of its divisors is an integer number (795150).

Almost surely, 2^36367920 is an apocalyptic number.

36367920 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 36367920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63612000).

36367920 is an abundant number, since it is smaller than the sum of its proper divisors (90856080).

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

36367920 is a wasteful number, since it uses less digits than its factorization.

36367920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 36367920 is about 6030.5820614597. The cubic root of 36367920 is about 331.3137710378.

The spelling of 36367920 in words is "thirty-six million, three hundred sixty-seven thousand, nine hundred twenty".