36975648 has 48 divisors (see below), whose sum is σ = 97475616. Its totient is φ = 12272640.

The previous prime is 36975623. The next prime is 36975649. The reversal of 36975648 is 84657963.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 36975597 and 36975606.

It is not an unprimeable number, because it can be changed into a prime (36975649) 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, 26488 + ... + 27848.

It is an arithmetic number, because the mean of its divisors is an integer number (2030742).

Almost surely, 2^36975648 is an apocalyptic number.

It is an amenable number.

36975648 is an abundant number, since it is smaller than the sum of its proper divisors (60499968).

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

36975648 is a wasteful number, since it uses less digits than its factorization.

36975648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1657 (or 1649 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The square root of 36975648 is about 6080.7604787559. The cubic root of 36975648 is about 333.1490643758.

The spelling of 36975648 in words is "thirty-six million, nine hundred seventy-five thousand, six hundred forty-eight".