64293768 has 96 divisors (see below), whose sum is σ = 217114560. Its totient is φ = 16698240.

The previous prime is 64293767. The next prime is 64293773. The reversal of 64293768 is 86739246.

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

It is not an unprimeable number, because it can be changed into a prime (64293767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255 + ... + 11342.

It is an arithmetic number, because the mean of its divisors is an integer number (2261610).

Almost surely, 2^64293768 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 64293768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108557280).

64293768 is an abundant number, since it is smaller than the sum of its proper divisors (152820792).

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

64293768 is a wasteful number, since it uses less digits than its factorization.

64293768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11627 (or 11620 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 64293768 is about 8018.3394789694. The cubic root of 64293768 is about 400.6110826363.

The spelling of 64293768 in words is "sixty-four million, two hundred ninety-three thousand, seven hundred sixty-eight".