83972160 has 112 divisors (see below), whose sum is σ = 296265600. Its totient is φ = 22390272.

The previous prime is 83972159. The next prime is 83972167. The reversal of 83972160 is 6127938.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (83972167) 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, 3781 + ... + 13499.

Almost surely, 2^83972160 is an apocalyptic number.

83972160 is a gapful number since it is divisible by the number (80) 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 83972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148132800).

83972160 is an abundant number, since it is smaller than the sum of its proper divisors (212293440).

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

83972160 is a wasteful number, since it uses less digits than its factorization.

83972160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9745 (or 9729 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 83972160 is about 9163.6324675316. The cubic root of 83972160 is about 437.9035253835.

The spelling of 83972160 in words is "eighty-three million, nine hundred seventy-two thousand, one hundred sixty".