83397600 has 504 divisors, whose sum is σ = 358617672. Its totient is φ = 18662400.

The previous prime is 83397583. The next prime is 83397617. The reversal of 83397600 is 679338.

It is an interprime number because it is at equal distance from previous prime (83397583) and next prime (83397617).

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

It is a congruent number.

It is an unprimeable number.

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 83 ways as a sum of consecutive naturals, for example, 6415194 + ... + 6415206.

It is an arithmetic number, because the mean of its divisors is an integer number (711543).

Almost surely, 2^83397600 is an apocalyptic number.

83397600 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 83397600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179308836).

83397600 is an abundant number, since it is smaller than the sum of its proper divisors (275220072).

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

83397600 is a wasteful number, since it uses less digits than its factorization.

83397600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 83397600 is about 9132.2286436554. The cubic root of 83397600 is about 436.9024877251.

The spelling of 83397600 in words is "eighty-three million, three hundred ninety-seven thousand, six hundred".