83853360 has 80 divisors (see below), whose sum is σ = 288835680. Its totient is φ = 22360320.

The previous prime is 83853349. The next prime is 83853361. The reversal of 83853360 is 6335838.

It is a tau number, because it is divible by the number of its divisors (80).

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 (83853361) 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, 17251 + ... + 21570.

It is an arithmetic number, because the mean of its divisors is an integer number (3610446).

Almost surely, 2^83853360 is an apocalyptic number.

83853360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83853360 is an abundant number, since it is smaller than the sum of its proper divisors (204982320).

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

83853360 is a wasteful number, since it uses less digits than its factorization.

83853360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38843 (or 38831 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 83853360 is about 9157.1480276339. The cubic root of 83853360 is about 437.6969192443.

The spelling of 83853360 in words is "eighty-three million, eight hundred fifty-three thousand, three hundred sixty".