83015280 has 200 divisors, whose sum is σ = 301400352. Its totient is φ = 21136896.

The previous prime is 83015249. The next prime is 83015291. The reversal of 83015280 is 8251038.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 148762 + ... + 149318.

Almost surely, 2^83015280 is an apocalyptic number.

83015280 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 83015280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150700176).

83015280 is an abundant number, since it is smaller than the sum of its proper divisors (218385072).

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

83015280 is a wasteful number, since it uses less digits than its factorization.

83015280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 83015280 is about 9111.2721394984. The cubic root of 83015280 is about 436.2338335512.

It can be divided in two parts, 830 and 15280, that added together give a triangular number (16110 = T₁₇₉).

The spelling of 83015280 in words is "eighty-three million, fifteen thousand, two hundred eighty".