36336960 has 336 divisors, whose sum is σ = 144548352. Its totient is φ = 8294400.

The previous prime is 36336901. The next prime is 36336961. The reversal of 36336960 is 6963363.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36336961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 982062 + ... + 982098.

Almost surely, 2^36336960 is an apocalyptic number.

36336960 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 36336960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72274176).

36336960 is an abundant number, since it is smaller than the sum of its proper divisors (108211392).

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

36336960 is a wasteful number, since it uses less digits than its factorization.

36336960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 36.

The square root of 36336960 is about 6028.0145985225. The cubic root of 36336960 is about 331.2197285735.

The spelling of 36336960 in words is "thirty-six million, three hundred thirty-six thousand, nine hundred sixty".