83743920 has 240 divisors, whose sum is σ = 316854720. Its totient is φ = 19666944.

The previous prime is 83743831. The next prime is 83743931. The reversal of 83743920 is 2934738.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 215086 + ... + 215474.

It is an arithmetic number, because the mean of its divisors is an integer number (1320228).

Almost surely, 2^83743920 is an apocalyptic number.

83743920 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 83743920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158427360).

83743920 is an abundant number, since it is smaller than the sum of its proper divisors (233110800).

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

83743920 is a wasteful number, since it uses less digits than its factorization.

83743920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 83743920 is about 9151.1704169467. The cubic root of 83743920 is about 437.5064184092.

The spelling of 83743920 in words is "eighty-three million, seven hundred forty-three thousand, nine hundred twenty".