83887920 has 160 divisors (see below), whose sum is σ = 293552640. Its totient is φ = 22014720.

The previous prime is 83887913. The next prime is 83887931. The reversal of 83887920 is 2978838.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153087 + ... + 153633.

It is an arithmetic number, because the mean of its divisors is an integer number (1834704).

Almost surely, 2^83887920 is an apocalyptic number.

83887920 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 83887920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146776320).

83887920 is an abundant number, since it is smaller than the sum of its proper divisors (209664720).

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

83887920 is a wasteful number, since it uses less digits than its factorization.

83887920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 83887920 is about 9159.0348836545. The cubic root of 83887920 is about 437.7570429644.

The spelling of 83887920 in words is "eighty-three million, eight hundred eighty-seven thousand, nine hundred twenty".