36971680 has 48 divisors (see below), whose sum is σ = 87744384. Its totient is φ = 14721280.

The previous prime is 36971677. The next prime is 36971681. The reversal of 36971680 is 8617963.

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

It is not an unprimeable number, because it can be changed into a prime (36971681) 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, 49389 + ... + 50131.

It is an arithmetic number, because the mean of its divisors is an integer number (1828008).

Almost surely, 2^36971680 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 36971680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43872192).

36971680 is an abundant number, since it is smaller than the sum of its proper divisors (50772704).

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

36971680 is a wasteful number, since it uses less digits than its factorization.

36971680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 36971680 is about 6080.4341950226. The cubic root of 36971680 is about 333.1371467774.

The spelling of 36971680 in words is "thirty-six million, nine hundred seventy-one thousand, six hundred eighty".