36644160 has 336 divisors, whose sum is σ = 145938240. Its totient is φ = 7741440.

The previous prime is 36644149. The next prime is 36644191. The reversal of 36644160 is 6144663.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 893740 + ... + 893780.

It is an arithmetic number, because the mean of its divisors is an integer number (434340).

Almost surely, 2^36644160 is an apocalyptic number.

36644160 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 36644160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72969120).

36644160 is an abundant number, since it is smaller than the sum of its proper divisors (109294080).

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

36644160 is a wasteful number, since it uses less digits than its factorization.

36644160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 36644160 is about 6053.4419960878. The cubic root of 36644160 is about 332.1505099735.

The spelling of 36644160 in words is "thirty-six million, six hundred forty-four thousand, one hundred sixty".