83682720 has 240 divisors, whose sum is σ = 322727328. Its totient is φ = 20252160.

The previous prime is 83682691. The next prime is 83682769. The reversal of 83682720 is 2728638.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 142267 + ... + 142853.

Almost surely, 2^83682720 is an apocalyptic number.

83682720 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 83682720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161363664).

83682720 is an abundant number, since it is smaller than the sum of its proper divisors (239044608).

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

83682720 is a wasteful number, since it uses less digits than its factorization.

83682720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 608 counting only the distinct ones).

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

The square root of 83682720 is about 9147.8259712349. The cubic root of 83682720 is about 437.3998159720.

The spelling of 83682720 in words is "eighty-three million, six hundred eighty-two thousand, seven hundred twenty".