83966880 has 48 divisors (see below), whose sum is σ = 264497184. Its totient is φ = 22391040.

The previous prime is 83966837. The next prime is 83966881. The reversal of 83966880 is 8866938.

It is a tau number, because it is divible by the number of its divisors (48).

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 (83966881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86986 + ... + 87945.

It is an arithmetic number, because the mean of its divisors is an integer number (5510358).

Almost surely, 2^83966880 is an apocalyptic number.

83966880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83966880 is an abundant number, since it is smaller than the sum of its proper divisors (180530304).

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

83966880 is a wasteful number, since it uses less digits than its factorization.

83966880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174949 (or 174941 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 83966880 is about 9163.3443676422. The cubic root of 83966880 is about 437.8943470278.

The spelling of 83966880 in words is "eighty-three million, nine hundred sixty-six thousand, eight hundred eighty".