64097792 has 80 divisors (see below), whose sum is σ = 147312000. Its totient is φ = 27555840.

The previous prime is 64097783. The next prime is 64097797. The reversal of 64097792 is 29779046.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64097797) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106709 + ... + 107307.

It is an arithmetic number, because the mean of its divisors is an integer number (1841400).

Almost surely, 2^64097792 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 64097792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73656000).

64097792 is an abundant number, since it is smaller than the sum of its proper divisors (83214208).

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

64097792 is a wasteful number, since it uses less digits than its factorization.

64097792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 44.

The square root of 64097792 is about 8006.1096669981. The cubic root of 64097792 is about 400.2036296532.

The spelling of 64097792 in words is "sixty-four million, ninety-seven thousand, seven hundred ninety-two".