36615960 has 192 divisors, whose sum is σ = 130740480. Its totient is φ = 8847360.

The previous prime is 36615959. The next prime is 36615967. The reversal of 36615960 is 6951663.

36615960 is a `hidden beast` number, since 3 + 6 + 61 + 596 + 0 = 666.

36615960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (36615967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189624 + ... + 189816.

It is an arithmetic number, because the mean of its divisors is an integer number (680940).

Almost surely, 2^36615960 is an apocalyptic number.

36615960 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 36615960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65370240).

36615960 is an abundant number, since it is smaller than the sum of its proper divisors (94124520).

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

36615960 is a wasteful number, since it uses less digits than its factorization.

36615960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 36615960 is about 6051.1122944464. The cubic root of 36615960 is about 332.0652844955.

The spelling of 36615960 in words is "thirty-six million, six hundred fifteen thousand, nine hundred sixty".