83658240 has 120 divisors (see below), whose sum is σ = 289811808. Its totient is φ = 22302720.

The previous prime is 83658233. The next prime is 83658257. The reversal of 83658240 is 4285638.

83658240 is a `hidden beast` number, since 8 + 36 + 582 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×83658240² = 13997402239795200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 83658195 and 83658204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21225 + ... + 24855.

Almost surely, 2^83658240 is an apocalyptic number.

83658240 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 83658240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144905904).

83658240 is an abundant number, since it is smaller than the sum of its proper divisors (206153568).

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

83658240 is a wasteful number, since it uses less digits than its factorization.

83658240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3660 (or 3641 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 83658240 is about 9146.4878505359. The cubic root of 83658240 is about 437.3571604442.

The spelling of 83658240 in words is "eighty-three million, six hundred fifty-eight thousand, two hundred forty".