83942976 has 112 divisors (see below), whose sum is σ = 241808000. Its totient is φ = 25698816.

The previous prime is 83942959. The next prime is 83942977. The reversal of 83942976 is 67924938.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (83942977) 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, 421725 + ... + 421923.

It is an arithmetic number, because the mean of its divisors is an integer number (2159000).

Almost surely, 2^83942976 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 83942976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120904000).

83942976 is an abundant number, since it is smaller than the sum of its proper divisors (157865024).

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

83942976 is a wasteful number, since it uses less digits than its factorization.

83942976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 217 counting only the distinct ones).

The product of its digits is 653184, while the sum is 48.

The square root of 83942976 is about 9162.0399475226. The cubic root of 83942976 is about 437.8527892932.

The spelling of 83942976 in words is "eighty-three million, nine hundred forty-two thousand, nine hundred seventy-six".