83746260 has 108 divisors (see below), whose sum is σ = 275174172. Its totient is φ = 20606976.

The previous prime is 83746237. The next prime is 83746309. The reversal of 83746260 is 6264738.

It can be written as a sum of positive squares in 6 ways, for example, as 3392964 + 80353296 = 1842^2 + 8964^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29044 + ... + 31796.

It is an arithmetic number, because the mean of its divisors is an integer number (2547909).

Almost surely, 2^83746260 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 83746260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137587086).

83746260 is an abundant number, since it is smaller than the sum of its proper divisors (191427912).

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

83746260 is a wasteful number, since it uses less digits than its factorization.

83746260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2794 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 83746260 is about 9151.2982685518. The cubic root of 83746260 is about 437.5104933538.

The spelling of 83746260 in words is "eighty-three million, seven hundred forty-six thousand, two hundred sixty".