50393664 has 70 divisors (see below), whose sum is σ = 149397974. Its totient is φ = 16796160.

The previous prime is 50393663. The next prime is 50393671. The reversal of 50393664 is 46639305.

50393664 is a `hidden beast` number, since 503 + 93 + 6 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29160000 + 21233664 = 5400^2 + 4608^2 .

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

It is not an unprimeable number, because it can be changed into a prime (50393663) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 324 + ... + 10044.

Almost surely, 2^50393664 is an apocalyptic number.

50393664 is a gapful number since it is divisible by the number (54) 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 50393664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74698987).

50393664 is an abundant number, since it is smaller than the sum of its proper divisors (99004310).

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

50393664 is an equidigital number, since it uses as much as digits as its factorization.

50393664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9745 (or 9726 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 50393664 is about 7098.8494842474. The cubic root of 50393664 is about 369.3674705363.

The spelling of 50393664 in words is "fifty million, three hundred ninety-three thousand, six hundred sixty-four".