83978496 has 216 divisors, whose sum is σ = 285702144. Its totient is φ = 23224320.

The previous prime is 83978491. The next prime is 83978507. The reversal of 83978496 is 69487938.

83978496 is a `hidden beast` number, since 83 + 9 + 78 + 496 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (83978491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 661185 + ... + 661311.

Almost surely, 2^83978496 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 83978496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142851072).

83978496 is an abundant number, since it is smaller than the sum of its proper divisors (201723648).

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

83978496 is a wasteful number, since it uses less digits than its factorization.

83978496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 180 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 83978496 is about 9163.9781754432. The cubic root of 83978496 is about 437.9145389026.

The spelling of 83978496 in words is "eighty-three million, nine hundred seventy-eight thousand, four hundred ninety-six".