83919360 has 240 divisors, whose sum is σ = 313479936. Its totient is φ = 19095552.

The previous prime is 83919323. The next prime is 83919389. The reversal of 83919360 is 6391938.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 376209 + ... + 376431.

Almost surely, 2^83919360 is an apocalyptic number.

83919360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83919360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156739968).

83919360 is an abundant number, since it is smaller than the sum of its proper divisors (229560576).

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

83919360 is a wasteful number, since it uses less digits than its factorization.

83919360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 83919360 is about 9160.7510609120. The cubic root of 83919360 is about 437.8117245061.

The spelling of 83919360 in words is "eighty-three million, nine hundred nineteen thousand, three hundred sixty".