83292480 has 84 divisors (see below), whose sum is σ = 286501332. Its totient is φ = 22210560.

The previous prime is 83292467. The next prime is 83292481. The reversal of 83292480 is 8429238.

It can be written as a sum of positive squares in 2 ways, for example, as 46131264 + 37161216 = 6792^2 + 6096^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83292481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11581 + ... + 17340.

Almost surely, 2^83292480 is an apocalyptic number.

83292480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83292480 is an abundant number, since it is smaller than the sum of its proper divisors (203208852).

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

83292480 is a wasteful number, since it uses less digits than its factorization.

83292480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28944 (or 28931 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 83292480 is about 9126.4713882201. The cubic root of 83292480 is about 436.7188433531.

The spelling of 83292480 in words is "eighty-three million, two hundred ninety-two thousand, four hundred eighty".