83835360 has 144 divisors (see below), whose sum is σ = 326997216. Its totient is φ = 19160064.

The previous prime is 83835341. The next prime is 83835361. The reversal of 83835360 is 6353838.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (83835361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5922 + ... + 14238.

It is an arithmetic number, because the mean of its divisors is an integer number (2270814).

Almost surely, 2^83835360 is an apocalyptic number.

83835360 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 83835360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163498608).

83835360 is an abundant number, since it is smaller than the sum of its proper divisors (243161856).

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

83835360 is a wasteful number, since it uses less digits than its factorization.

83835360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8345 (or 8334 counting only the distinct ones).

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

The square root of 83835360 is about 9156.1651361255. The cubic root of 83835360 is about 437.6655982638.

The spelling of 83835360 in words is "eighty-three million, eight hundred thirty-five thousand, three hundred sixty".