248582664 has 192 divisors, whose sum is σ = 775008000. Its totient is φ = 71285760.

The previous prime is 248582657. The next prime is 248582669. The reversal of 248582664 is 466285842.

248582664 is a `hidden beast` number, since 2 + 4 + 8 + 582 + 6 + 64 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (248582669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1814404 + ... + 1814540.

It is an arithmetic number, because the mean of its divisors is an integer number (4036500).

Almost surely, 2^248582664 is an apocalyptic number.

248582664 is a gapful number since it is divisible by the number (24) 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 248582664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387504000).

248582664 is an abundant number, since it is smaller than the sum of its proper divisors (526425336).

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

248582664 is a wasteful number, since it uses less digits than its factorization.

248582664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 261 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 248582664 is about 15766.5044952900. The cubic root of 248582664 is about 628.7677804325.

The spelling of 248582664 in words is "two hundred forty-eight million, five hundred eighty-two thousand, six hundred sixty-four".