83491680 has 144 divisors (see below), whose sum is σ = 273257712. Its totient is φ = 21427200.

The previous prime is 83491657. The next prime is 83491687. The reversal of 83491680 is 8619438.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83491687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 461190 + ... + 461370.

It is an arithmetic number, because the mean of its divisors is an integer number (1897623).

Almost surely, 2^83491680 is an apocalyptic number.

83491680 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 83491680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136628856).

83491680 is an abundant number, since it is smaller than the sum of its proper divisors (189766032).

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

83491680 is a wasteful number, since it uses less digits than its factorization.

83491680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 83491680 is about 9137.3781797625. The cubic root of 83491680 is about 437.0667144313.

The spelling of 83491680 in words is "eighty-three million, four hundred ninety-one thousand, six hundred eighty".