248839680 has 80 divisors (see below), whose sum is σ = 795533904. Its totient is φ = 66355200.

The previous prime is 248839631. The next prime is 248839711. The reversal of 248839680 is 86938842.

It is a happy number.

248839680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (48).

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, 8521 + ... + 23880.

Almost surely, 2^248839680 is an apocalyptic number.

248839680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248839680 is an abundant number, since it is smaller than the sum of its proper divisors (546694224).

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

248839680 is an equidigital number, since it uses as much as digits as its factorization.

248839680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32427 (or 32411 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 248839680 is about 15774.6530865183. The cubic root of 248839680 is about 628.9844055100.

The spelling of 248839680 in words is "two hundred forty-eight million, eight hundred thirty-nine thousand, six hundred eighty".