83887488 has 224 divisors, whose sum is σ = 267566400. Its totient is φ = 26127360.

The previous prime is 83887487. The next prime is 83887513. The reversal of 83887488 is 88478838.

83887488 is a `hidden beast` number, since 83 + 8 + 87 + 488 = 666.

It is a super-2 number, since 2×83887488² = 14074221285900288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83887483) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 2706033 + ... + 2706063.

Almost surely, 2^83887488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83887488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133783200).

83887488 is an abundant number, since it is smaller than the sum of its proper divisors (183678912).

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

83887488 is an equidigital number, since it uses as much as digits as its factorization.

83887488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 65 counting only the distinct ones).

The product of its digits is 2752512, while the sum is 54.

The square root of 83887488 is about 9159.0113003533. The cubic root of 83887488 is about 437.7562915198.

It can be divided in two parts, 8388 and 7488, that added together give a square (15876 = 126²).

The spelling of 83887488 in words is "eighty-three million, eight hundred eighty-seven thousand, four hundred eighty-eight".