36376960 has 64 divisors (see below), whose sum is σ = 87907680. Its totient is φ = 14393344.

The previous prime is 36376943. The next prime is 36376969. The reversal of 36376960 is 6967363.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36376969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72069 + ... + 72571.

Almost surely, 2^36376960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43953840).

36376960 is an abundant number, since it is smaller than the sum of its proper divisors (51530720).

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

36376960 is a wasteful number, since it uses less digits than its factorization.

36376960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 40.

The square root of 36376960 is about 6031.3315279464. The cubic root of 36376960 is about 331.3412203976.

It can be divided in two parts, 36 and 376960, that added together give a square (376996 = 614²).

The spelling of 36376960 in words is "thirty-six million, three hundred seventy-six thousand, nine hundred sixty".