83254160 has 80 divisors (see below), whose sum is σ = 213736320. Its totient is φ = 29905920.

The previous prime is 83254147. The next prime is 83254163. The reversal of 83254160 is 6145238.

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

It is not an unprimeable number, because it can be changed into a prime (83254163) 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, 77789 + ... + 78851.

It is an arithmetic number, because the mean of its divisors is an integer number (2671704).

Almost surely, 2^83254160 is an apocalyptic number.

83254160 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 83254160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106868160).

83254160 is an abundant number, since it is smaller than the sum of its proper divisors (130482160).

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

83254160 is a wasteful number, since it uses less digits than its factorization.

83254160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 83254160 is about 9124.3717591953. The cubic root of 83254160 is about 436.6518599826.

Adding to 83254160 its reverse (6145238), we get a palindrome (89399398).

The spelling of 83254160 in words is "eighty-three million, two hundred fifty-four thousand, one hundred sixty".