36975960 has 256 divisors, whose sum is σ = 144921600. Its totient is φ = 8211456.

The previous prime is 36975941. The next prime is 36975979. The reversal of 36975960 is 6957963.

It is an interprime number because it is at equal distance from previous prime (36975941) and next prime (36975979).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 506484 + ... + 506556.

It is an arithmetic number, because the mean of its divisors is an integer number (566100).

Almost surely, 2^36975960 is an apocalyptic number.

36975960 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 36975960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72460800).

36975960 is an abundant number, since it is smaller than the sum of its proper divisors (107945640).

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

36975960 is a wasteful number, since it uses less digits than its factorization.

36975960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 36975960 is about 6080.7861333877. The cubic root of 36975960 is about 333.1500014089.

The spelling of 36975960 in words is "thirty-six million, nine hundred seventy-five thousand, nine hundred sixty".