83682240 has 112 divisors (see below), whose sum is σ = 270235680. Its totient is φ = 21934080.

The previous prime is 83682227. The next prime is 83682259. The reversal of 83682240 is 4228638.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57846 + ... + 59274.

Almost surely, 2^83682240 is an apocalyptic number.

83682240 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 83682240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135117840).

83682240 is an abundant number, since it is smaller than the sum of its proper divisors (186553440).

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

83682240 is a wasteful number, since it uses less digits than its factorization.

83682240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 83682240 is about 9147.7997354555. The cubic root of 83682240 is about 437.3989796690.

The spelling of 83682240 in words is "eighty-three million, six hundred eighty-two thousand, two hundred forty".