83314560 has 128 divisors (see below), whose sum is σ = 303552000. Its totient is φ = 19040256.

The previous prime is 83314547. The next prime is 83314589. The reversal of 83314560 is 6541338.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 10341 + ... + 16539.

It is an arithmetic number, because the mean of its divisors is an integer number (2371500).

Almost surely, 2^83314560 is an apocalyptic number.

83314560 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 83314560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151776000).

83314560 is an abundant number, since it is smaller than the sum of its proper divisors (220237440).

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

83314560 is a wasteful number, since it uses less digits than its factorization.

83314560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6228 (or 6216 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 83314560 is about 9127.6809760201. The cubic root of 83314560 is about 436.7574298703.

Adding to 83314560 its reverse (6541338), we get a palindrome (89855898).

The spelling of 83314560 in words is "eighty-three million, three hundred fourteen thousand, five hundred sixty".