248240640 has 80 divisors (see below), whose sum is σ = 793618848. Its totient is φ = 66195456.

The previous prime is 248240639. The next prime is 248240683. The reversal of 248240640 is 46042842.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 248240598 and 248240607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8482 + ... + 23841.

Almost surely, 2^248240640 is an apocalyptic number.

248240640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248240640 is an abundant number, since it is smaller than the sum of its proper divisors (545378208).

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

248240640 is an equidigital number, since it uses as much as digits as its factorization.

248240640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32349 (or 32333 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 248240640 is about 15755.6542231670. The cubic root of 248240640 is about 628.4792749593.

The spelling of 248240640 in words is "two hundred forty-eight million, two hundred forty thousand, six hundred forty".