36067920 has 120 divisors (see below), whose sum is σ = 130107744. Its totient is φ = 8241408.

The previous prime is 36067903. The next prime is 36067921. The reversal of 36067920 is 2976063.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36067921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10227 + ... + 13293.

Almost surely, 2^36067920 is an apocalyptic number.

36067920 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 36067920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65053872).

36067920 is an abundant number, since it is smaller than the sum of its proper divisors (94039824).

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

36067920 is a wasteful number, since it uses less digits than its factorization.

36067920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3097 (or 3084 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 36067920 is about 6005.6573328821. The cubic root of 36067920 is about 330.4002489704.

The spelling of 36067920 in words is "thirty-six million, sixty-seven thousand, nine hundred twenty".