83978896 has 45 divisors (see below), whose sum is σ = 170673321. Its totient is φ = 40028352.

The previous prime is 83978893. The next prime is 83978897. The reversal of 83978896 is 69887938.

The square root of 83978896 is 9164.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 44036496 + 39942400 = 6636^2 + 6320^2 .

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a Duffinian number.

Its product of digits (5225472) is a multiple of the sum of its prime factors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 83978896.

It is not an unprimeable number, because it can be changed into a prime (83978893) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1062985 + ... + 1063063.

Almost surely, 2^83978896 is an apocalyptic number.

83978896 is the 9164-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83978896

83978896 is an abundant number, since it is smaller than the sum of its proper divisors (86694425).

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

83978896 is an equidigital number, since it uses as much as digits as its factorization.

83978896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 110 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 58.

The cubic root of 83978896 is about 437.9152341819.

The spelling of 83978896 in words is "eighty-three million, nine hundred seventy-eight thousand, eight hundred ninety-six".