63748000 has 48 divisors (see below), whose sum is σ = 156638664. Its totient is φ = 25497600.

The previous prime is 63747979. The next prime is 63748001. The reversal of 63748000 is 84736.

It can be written as a sum of positive squares in 4 ways, for example, as 24960016 + 38787984 = 4996^2 + 6228^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 63748000.

It is not an unprimeable number, because it can be changed into a prime (63748001) 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, 3969 + ... + 11968.

Almost surely, 2^63748000 is an apocalyptic number.

It is an amenable number.

63748000 is an abundant number, since it is smaller than the sum of its proper divisors (92890664).

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

63748000 is a wasteful number, since it uses less digits than its factorization.

63748000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15962 (or 15944 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 63748000 is about 7984.2344654951. The cubic root of 63748000 is about 399.4743094262.

The spelling of 63748000 in words is "sixty-three million, seven hundred forty-eight thousand".