83747664 has 360 divisors, whose sum is σ = 324166752. Its totient is φ = 19837440.

The previous prime is 83747659. The next prime is 83747681. The reversal of 83747664 is 46674738.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1008967 + ... + 1009049.

Almost surely, 2^83747664 is an apocalyptic number.

83747664 is a gapful number since it is divisible by the number (84) 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 83747664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162083376).

83747664 is an abundant number, since it is smaller than the sum of its proper divisors (240419088).

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

83747664 is a wasteful number, since it uses less digits than its factorization.

83747664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 119 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 83747664 is about 9151.3749786576. The cubic root of 83747664 is about 437.5129382840.

It can be divided in two parts, 83 and 747664, that added together give a palindrome (747747).

The spelling of 83747664 in words is "eighty-three million, seven hundred forty-seven thousand, six hundred sixty-four".