248610816 has 128 divisors (see below), whose sum is σ = 739234800. Its totient is φ = 82575360.

The previous prime is 248610809. The next prime is 248610829. The reversal of 248610816 is 618016842.

248610816 is a `hidden beast` number, since 24 + 8 + 610 + 8 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 884596 + ... + 884876.

Almost surely, 2^248610816 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 248610816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369617400).

248610816 is an abundant number, since it is smaller than the sum of its proper divisors (490623984).

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

248610816 is an frugal number, since it uses more digits than its factorization.

248610816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 248610816 is about 15767.3972487535. The cubic root of 248610816 is about 628.7915155315.

The spelling of 248610816 in words is "two hundred forty-eight million, six hundred ten thousand, eight hundred sixteen".