80093664 has 384 divisors, whose sum is σ = 304819200. Its totient is φ = 19906560.

The previous prime is 80093639. The next prime is 80093669. The reversal of 80093664 is 46639008.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80093669) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1953484 + ... + 1953524.

It is an arithmetic number, because the mean of its divisors is an integer number (793800).

Almost surely, 2^80093664 is an apocalyptic number.

80093664 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 80093664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152409600).

80093664 is an abundant number, since it is smaller than the sum of its proper divisors (224725536).

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

80093664 is a wasteful number, since it uses less digits than its factorization.

80093664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 89 counting only the distinct ones).

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

The square root of 80093664 is about 8949.5063551014. The cubic root of 80093664 is about 431.0550332305.

Subtracting from 80093664 its reverse (46639008), we obtain a square (33454656 = 5784²).

The spelling of 80093664 in words is "eighty million, ninety-three thousand, six hundred sixty-four".