83857920 has 160 divisors (see below), whose sum is σ = 274000320. Its totient is φ = 21872640.

The previous prime is 83857901. The next prime is 83857927. The reversal of 83857920 is 2975838.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (83857927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 468391 + ... + 468569.

It is an arithmetic number, because the mean of its divisors is an integer number (1712502).

Almost surely, 2^83857920 is an apocalyptic number.

83857920 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 83857920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137000160).

83857920 is an abundant number, since it is smaller than the sum of its proper divisors (190142400).

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

83857920 is a wasteful number, since it uses less digits than its factorization.

83857920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 83857920 is about 9157.3970100679. The cubic root of 83857920 is about 437.7048531811.

The spelling of 83857920 in words is "eighty-three million, eight hundred fifty-seven thousand, nine hundred twenty".