83018880 has 384 divisors, whose sum is σ = 343699200. Its totient is φ = 18063360.

The previous prime is 83018879. The next prime is 83018911. The reversal of 83018880 is 8881038.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1169245 + ... + 1169315.

It is an arithmetic number, because the mean of its divisors is an integer number (895050).

Almost surely, 2^83018880 is an apocalyptic number.

83018880 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 83018880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171849600).

83018880 is an abundant number, since it is smaller than the sum of its proper divisors (260680320).

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

83018880 is a wasteful number, since it uses less digits than its factorization.

83018880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 83018880 is about 9111.4696948407. The cubic root of 83018880 is about 436.2401392943.

The spelling of 83018880 in words is "eighty-three million, eighteen thousand, eight hundred eighty".