83292160 has 156 divisors (see below), whose sum is σ = 235311048. Its totient is φ = 28213248.

The previous prime is 83292151. The next prime is 83292169. The reversal of 83292160 is 6129238.

It is an interprime number because it is at equal distance from previous prime (83292151) and next prime (83292169).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83292169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1003479 + ... + 1003561.

Almost surely, 2^83292160 is an apocalyptic number.

83292160 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 83292160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117655524).

83292160 is an abundant number, since it is smaller than the sum of its proper divisors (152018888).

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

83292160 is an equidigital number, since it uses as much as digits as its factorization.

83292160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 83292160 is about 9126.4538567836. The cubic root of 83292160 is about 436.7182840781.

The spelling of 83292160 in words is "eighty-three million, two hundred ninety-two thousand, one hundred sixty".