81792064 has 56 divisors (see below), whose sum is σ = 169712640. Its totient is φ = 39062016.

The previous prime is 81792041. The next prime is 81792103. The reversal of 81792064 is 46029718.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 235539 + ... + 235885.

Almost surely, 2^81792064 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 81792064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84856320).

81792064 is an abundant number, since it is smaller than the sum of its proper divisors (87920576).

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

81792064 is a wasteful number, since it uses less digits than its factorization.

81792064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 81792064 is about 9043.8965053786. The cubic root of 81792064 is about 434.0806124902.

The spelling of 81792064 in words is "eighty-one million, seven hundred ninety-two thousand, sixty-four".