83897120 has 48 divisors (see below), whose sum is σ = 199370808. Its totient is φ = 33361920.

The previous prime is 83897117. The next prime is 83897173. The reversal of 83897120 is 2179838.

It can be written as a sum of positive squares in 4 ways, for example, as 22619536 + 61277584 = 4756^2 + 7828^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27512 + ... + 30408.

Almost surely, 2^83897120 is an apocalyptic number.

83897120 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 83897120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99685404).

83897120 is an abundant number, since it is smaller than the sum of its proper divisors (115473688).

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

83897120 is a wasteful number, since it uses less digits than its factorization.

83897120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3093 (or 3085 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 83897120 is about 9159.5371062079. The cubic root of 83897120 is about 437.7730453383.

The spelling of 83897120 in words is "eighty-three million, eight hundred ninety-seven thousand, one hundred twenty".