83179440 has 160 divisors (see below), whose sum is σ = 290189760. Its totient is φ = 21897216.

The previous prime is 83179433. The next prime is 83179451. The reversal of 83179440 is 4497138.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 83179395 and 83179404.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209322 + ... + 209718.

It is an arithmetic number, because the mean of its divisors is an integer number (1813686).

Almost surely, 2^83179440 is an apocalyptic number.

83179440 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 83179440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145094880).

83179440 is an abundant number, since it is smaller than the sum of its proper divisors (207010320).

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

83179440 is a wasteful number, since it uses less digits than its factorization.

83179440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 83179440 is about 9120.2763116037. The cubic root of 83179440 is about 436.5211902657.

The spelling of 83179440 in words is "eighty-three million, one hundred seventy-nine thousand, four hundred forty".