83287260 has 288 divisors, whose sum is σ = 314496000. Its totient is φ = 17781120.

The previous prime is 83287249. The next prime is 83287283. The reversal of 83287260 is 6278238.

It is a happy number.

83287260 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

83287260 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1173025 + ... + 1173095.

It is an arithmetic number, because the mean of its divisors is an integer number (1092000).

Almost surely, 2^83287260 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83287260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157248000).

83287260 is an abundant number, since it is smaller than the sum of its proper divisors (231208740).

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

83287260 is a wasteful number, since it uses less digits than its factorization.

83287260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 83287260 is about 9126.1854024559. The cubic root of 83287260 is about 436.7097200005.

The spelling of 83287260 in words is "eighty-three million, two hundred eighty-seven thousand, two hundred sixty".