83940960 has 48 divisors (see below), whose sum is σ = 264415536. Its totient is φ = 22384128.

The previous prime is 83940959. The next prime is 83941003. The reversal of 83940960 is 6904938.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86959 + ... + 87918.

It is an arithmetic number, because the mean of its divisors is an integer number (5508657).

Almost surely, 2^83940960 is an apocalyptic number.

83940960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83940960 is an abundant number, since it is smaller than the sum of its proper divisors (180474576).

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

83940960 is a wasteful number, since it uses less digits than its factorization.

83940960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174895 (or 174887 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 83940960 is about 9161.9299276954. The cubic root of 83940960 is about 437.8492840633.

The spelling of 83940960 in words is "eighty-three million, nine hundred forty thousand, nine hundred sixty".