248642664 has 64 divisors (see below), whose sum is σ = 672052800. Its totient is φ = 76391424.

The previous prime is 248642657. The next prime is 248642671. The reversal of 248642664 is 466246842.

It is an interprime number because it is at equal distance from previous prime (248642657) and next prime (248642671).

It is a super-2 number, since 2×248642664² = 123646348722033792, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9504 + ... + 24240.

It is an arithmetic number, because the mean of its divisors is an integer number (10500825).

Almost surely, 2^248642664 is an apocalyptic number.

248642664 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 248642664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336026400).

248642664 is an abundant number, since it is smaller than the sum of its proper divisors (423410136).

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

248642664 is a wasteful number, since it uses less digits than its factorization.

248642664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14802 (or 14798 counting only the distinct ones).

The product of its digits is 442368, while the sum is 42.

The square root of 248642664 is about 15768.4071484725. The cubic root of 248642664 is about 628.8183645874.

It can be divided in two parts, 2486 and 42664, that added together give a triangular number (45150 = T₃₀₀).

The spelling of 248642664 in words is "two hundred forty-eight million, six hundred forty-two thousand, six hundred sixty-four".