83418660 has 240 divisors, whose sum is σ = 299675376. Its totient is φ = 19243008.

The previous prime is 83418623. The next prime is 83418679. The reversal of 83418660 is 6681438.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6260004 + 77158656 = 2502^2 + 8784^2 .

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 79 ways as a sum of consecutive naturals, for example, 357904 + ... + 358136.

Almost surely, 2^83418660 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 83418660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149837688).

83418660 is an abundant number, since it is smaller than the sum of its proper divisors (216256716).

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

83418660 is a wasteful number, since it uses less digits than its factorization.

83418660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 83418660 is about 9133.3816300426. The cubic root of 83418660 is about 436.9392609335.

The spelling of 83418660 in words is "eighty-three million, four hundred eighteen thousand, six hundred sixty".