83745920 has 128 divisors (see below), whose sum is σ = 215913600. Its totient is φ = 30965760.

The previous prime is 83745919. The next prime is 83745923. The reversal of 83745920 is 2954738.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (83745923) 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, 863312 + ... + 863408.

It is an arithmetic number, because the mean of its divisors is an integer number (1686825).

Almost surely, 2^83745920 is an apocalyptic number.

83745920 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 83745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107956800).

83745920 is an abundant number, since it is smaller than the sum of its proper divisors (132167680).

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

83745920 is a wasteful number, since it uses less digits than its factorization.

83745920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 83745920 is about 9151.2796919338. The cubic root of 83745920 is about 437.5099012725.

The spelling of 83745920 in words is "eighty-three million, seven hundred forty-five thousand, nine hundred twenty".