83522880 has 224 divisors, whose sum is σ = 336986880. Its totient is φ = 19077120.

The previous prime is 83522861. The next prime is 83522903. The reversal of 83522880 is 8822538.

It is a tau number, because it is divible by the number of its divisors (224).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59790 + ... + 61170.

Almost surely, 2^83522880 is an apocalyptic number.

83522880 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 83522880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168493440).

83522880 is an abundant number, since it is smaller than the sum of its proper divisors (253464000).

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

83522880 is a wasteful number, since it uses less digits than its factorization.

83522880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 83522880 is about 9139.0852933978. The cubic root of 83522880 is about 437.1211501277.

The spelling of 83522880 in words is "eighty-three million, five hundred twenty-two thousand, eight hundred eighty".