83664900 has 216 divisors, whose sum is σ = 297626784. Its totient is φ = 20217600.

The previous prime is 83664857. The next prime is 83664901. The reversal of 83664900 is 946638.

83664900 is a `hidden beast` number, since 8 + 3 + 6 + 649 + 0 + 0 = 666.

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

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83664901) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 267144 + ... + 267456.

Almost surely, 2^83664900 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 83664900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148813392).

83664900 is an abundant number, since it is smaller than the sum of its proper divisors (213961884).

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

83664900 is a wasteful number, since it uses less digits than its factorization.

83664900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 83664900 is about 9146.8519174632. The cubic root of 83664900 is about 437.3687660808.

The spelling of 83664900 in words is "eighty-three million, six hundred sixty-four thousand, nine hundred".