83746488 has 192 divisors, whose sum is σ = 265939200. Its totient is φ = 21826560.

The previous prime is 83746483. The next prime is 83746489. The reversal of 83746488 is 88464738.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83746483) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1179493 + ... + 1179563.

It is an arithmetic number, because the mean of its divisors is an integer number (1385100).

Almost surely, 2^83746488 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 83746488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132969600).

83746488 is an abundant number, since it is smaller than the sum of its proper divisors (182192712).

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

83746488 is a wasteful number, since it uses less digits than its factorization.

83746488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 159 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 48.

The square root of 83746488 is about 9151.3107257922. The cubic root of 83746488 is about 437.5108903956.

The spelling of 83746488 in words is "eighty-three million, seven hundred forty-six thousand, four hundred eighty-eight".