83893680 has 120 divisors (see below), whose sum is σ = 303449328. Its totient is φ = 20648448.

The previous prime is 83893613. The next prime is 83893697. The reversal of 83893680 is 8639838.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 4879 + ... + 13841.

Almost surely, 2^83893680 is an apocalyptic number.

83893680 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 83893680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151724664).

83893680 is an abundant number, since it is smaller than the sum of its proper divisors (219555648).

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

83893680 is a wasteful number, since it uses less digits than its factorization.

83893680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8995 (or 8986 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 83893680 is about 9159.3493218678. The cubic root of 83893680 is about 437.7670619789.

The spelling of 83893680 in words is "eighty-three million, eight hundred ninety-three thousand, six hundred eighty".