83359440 has 60 divisors (see below), whose sum is σ = 279951204. Its totient is φ = 22228992.

The previous prime is 83359433. The next prime is 83359477. The reversal of 83359440 is 4495338.

It can be written as a sum of positive squares in 2 ways, for example, as 17943696 + 65415744 = 4236^2 + 8088^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×83359440² = 13897592474227200, which contains 22 as substring.

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 = 83359395 and 83359404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57169 + ... + 58608.

Almost surely, 2^83359440 is an apocalyptic number.

83359440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83359440 is an abundant number, since it is smaller than the sum of its proper divisors (196591764).

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

83359440 is a wasteful number, since it uses less digits than its factorization.

83359440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115796 (or 115787 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 83359440 is about 9130.1391008024. The cubic root of 83359440 is about 436.8358401538.

The spelling of 83359440 in words is "eighty-three million, three hundred fifty-nine thousand, four hundred forty".