83950560 has 96 divisors (see below), whose sum is σ = 293842080. Its totient is φ = 22385664.

The previous prime is 83950549. The next prime is 83950567. The reversal of 83950560 is 6505938.

83950560 is a `hidden beast` number, since 8 + 3 + 95 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83950567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5397 + ... + 14036.

It is an arithmetic number, because the mean of its divisors is an integer number (3060855).

Almost surely, 2^83950560 is an apocalyptic number.

83950560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83950560 is an abundant number, since it is smaller than the sum of its proper divisors (209891520).

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

83950560 is a wasteful number, since it uses less digits than its factorization.

83950560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19457 (or 19443 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 83950560 is about 9162.4538198018. The cubic root of 83950560 is about 437.8659751316.

The spelling of 83950560 in words is "eighty-three million, nine hundred fifty thousand, five hundred sixty".