36980832 has 96 divisors (see below), whose sum is σ = 112154112. Its totient is φ = 10450944.

The previous prime is 36980819. The next prime is 36980833. The reversal of 36980832 is 23808963.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36980833) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75693 + ... + 76179.

It is an arithmetic number, because the mean of its divisors is an integer number (1168272).

Almost surely, 2^36980832 is an apocalyptic number.

36980832 is a gapful number since it is divisible by the number (32) 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 36980832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56077056).

36980832 is an abundant number, since it is smaller than the sum of its proper divisors (75173280).

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

36980832 is a wasteful number, since it uses less digits than its factorization.

36980832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 36980832 is about 6081.1867262895. The cubic root of 36980832 is about 333.1646328571.

The spelling of 36980832 in words is "thirty-six million, nine hundred eighty thousand, eight hundred thirty-two".