83963520 has 256 divisors, whose sum is σ = 306979200. Its totient is φ = 21676032.

The previous prime is 83963519. The next prime is 83963543. The reversal of 83963520 is 2536938.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 742984 + ... + 743096.

Almost surely, 2^83963520 is an apocalyptic number.

83963520 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 83963520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153489600).

83963520 is an abundant number, since it is smaller than the sum of its proper divisors (223015680).

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

83963520 is a wasteful number, since it uses less digits than its factorization.

83963520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 83963520 is about 9163.1610266327. The cubic root of 83963520 is about 437.8885060556. Note that the first 3 decimals are identical.

The spelling of 83963520 in words is "eighty-three million, nine hundred sixty-three thousand, five hundred twenty".