83961360 has 240 divisors, whose sum is σ = 334728576. Its totient is φ = 19160064.

The previous prime is 83961343. The next prime is 83961379. The reversal of 83961360 is 6316938.

It is a happy number.

83961360 is a `hidden beast` number, since 8 + 39 + 613 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135772 + ... + 136388.

Almost surely, 2^83961360 is an apocalyptic number.

83961360 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 83961360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167364288).

83961360 is an abundant number, since it is smaller than the sum of its proper divisors (250767216).

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

83961360 is a wasteful number, since it uses less digits than its factorization.

83961360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 83961360 is about 9163.0431626180. The cubic root of 83961360 is about 437.8847510626.

The spelling of 83961360 in words is "eighty-three million, nine hundred sixty-one thousand, three hundred sixty".