83159040 has 96 divisors (see below), whose sum is σ = 266142240. Its totient is φ = 22167552.

The previous prime is 83159039. The next prime is 83159047. The reversal of 83159040 is 4095138.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 83158989 and 83159007.

It is not an unprimeable number, because it can be changed into a prime (83159047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29367 + ... + 32073.

It is an arithmetic number, because the mean of its divisors is an integer number (2772315).

Almost surely, 2^83159040 is an apocalyptic number.

83159040 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 83159040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133071120).

83159040 is an abundant number, since it is smaller than the sum of its proper divisors (182983200).

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

83159040 is a wasteful number, since it uses less digits than its factorization.

83159040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2737 (or 2717 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 83159040 is about 9119.1578558549. The cubic root of 83159040 is about 436.4855013167.

The spelling of 83159040 in words is "eighty-three million, one hundred fifty-nine thousand, forty".