83925360 has 120 divisors (see below), whose sum is σ = 288825264. Its totient is φ = 21826560.

The previous prime is 83925329. The next prime is 83925371. The reversal of 83925360 is 6352938.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×83925360² = 14086932102259200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 28099 + ... + 30941.

Almost surely, 2^83925360 is an apocalyptic number.

83925360 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 83925360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144412632).

83925360 is an abundant number, since it is smaller than the sum of its proper divisors (204899904).

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

83925360 is a wasteful number, since it uses less digits than its factorization.

83925360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2903 (or 2894 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 83925360 is about 9161.0785391241. The cubic root of 83925360 is about 437.8221583629.

The spelling of 83925360 in words is "eighty-three million, nine hundred twenty-five thousand, three hundred sixty".