83266960 has 40 divisors (see below), whose sum is σ = 221253696. Its totient is φ = 28548480.

The previous prime is 83266943. The next prime is 83266999. The reversal of 83266960 is 6966238.

83266960 = 838² + 839² + ... + 942².

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73786 + ... + 74905.

Almost surely, 2^83266960 is an apocalyptic number.

83266960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83266960 is an abundant number, since it is smaller than the sum of its proper divisors (137986736).

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

83266960 is a wasteful number, since it uses less digits than its factorization.

83266960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148711 (or 148705 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 83266960 is about 9125.0731503917. The cubic root of 83266960 is about 436.6742366719.

The spelling of 83266960 in words is "eighty-three million, two hundred sixty-six thousand, nine hundred sixty".