36324960 has 192 divisors, whose sum is σ = 137894400. Its totient is φ = 7852032.

The previous prime is 36324947. The next prime is 36324973. The reversal of 36324960 is 6942363.

It is an interprime number because it is at equal distance from previous prime (36324947) and next prime (36324973).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63556 + ... + 64124.

It is an arithmetic number, because the mean of its divisors is an integer number (718200).

Almost surely, 2^36324960 is an apocalyptic number.

36324960 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 36324960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68947200).

36324960 is an abundant number, since it is smaller than the sum of its proper divisors (101569440).

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

36324960 is a wasteful number, since it uses less digits than its factorization.

36324960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 36324960 is about 6027.0191637326. The cubic root of 36324960 is about 331.1832636412.

The spelling of 36324960 in words is "thirty-six million, three hundred twenty-four thousand, nine hundred sixty".