248968564 has 48 divisors (see below), whose sum is σ = 496290816. Its totient is φ = 108460800.

The previous prime is 248968561. The next prime is 248968591. The reversal of 248968564 is 465869842.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248968561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64209 + ... + 67975.

It is an arithmetic number, because the mean of its divisors is an integer number (10339392).

Almost surely, 2^248968564 is an apocalyptic number.

It is an amenable number.

248968564 is a deficient number, since it is larger than the sum of its proper divisors (247322252).

248968564 is a wasteful number, since it uses less digits than its factorization.

248968564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3856 (or 3854 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 52.

The square root of 248968564 is about 15778.7377188418. The cubic root of 248968564 is about 629.0929788082.

The spelling of 248968564 in words is "two hundred forty-eight million, nine hundred sixty-eight thousand, five hundred sixty-four".