83414664 has 64 divisors (see below), whose sum is σ = 237384000. Its totient is φ = 27123840.

The previous prime is 83414659. The next prime is 83414671. The reversal of 83414664 is 46641438.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4147 + ... + 13565.

It is an arithmetic number, because the mean of its divisors is an integer number (3709125).

Almost surely, 2^83414664 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 83414664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118692000).

83414664 is an abundant number, since it is smaller than the sum of its proper divisors (153969336).

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

83414664 is a wasteful number, since it uses less digits than its factorization.

83414664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9475 (or 9465 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 83414664 is about 9133.1628694555. The cubic root of 83414664 is about 436.9322839287.

The spelling of 83414664 in words is "eighty-three million, four hundred fourteen thousand, six hundred sixty-four".