83988480 has 104 divisors (see below), whose sum is σ = 268926912. Its totient is φ = 22380544.

The previous prime is 83988467. The next prime is 83988497. The reversal of 83988480 is 8488938.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60757 + ... + 62123.

Almost surely, 2^83988480 is an apocalyptic number.

83988480 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 83988480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134463456).

83988480 is an abundant number, since it is smaller than the sum of its proper divisors (184938432).

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

83988480 is a wasteful number, since it uses less digits than its factorization.

83988480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The square root of 83988480 is about 9164.5229008389. The cubic root of 83988480 is about 437.9318924146.

The spelling of 83988480 in words is "eighty-three million, nine hundred eighty-eight thousand, four hundred eighty".