248129640 has 96 divisors (see below), whose sum is σ = 879746400. Its totient is φ = 60151680.

The previous prime is 248129573. The next prime is 248129641. The reversal of 248129640 is 46921842.

248129640 is a `hidden beast` number, since 2 + 4 + 8 + 1 + 2 + 9 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 248129595 and 248129604.

It is not an unprimeable number, because it can be changed into a prime (248129641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27370 + ... + 35289.

It is an arithmetic number, because the mean of its divisors is an integer number (9164025).

Almost surely, 2^248129640 is an apocalyptic number.

248129640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248129640 is an abundant number, since it is smaller than the sum of its proper divisors (631616760).

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

248129640 is a wasteful number, since it uses less digits than its factorization.

248129640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62687 (or 62680 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 248129640 is about 15752.1312843691. The cubic root of 248129640 is about 628.3855868348.

The spelling of 248129640 in words is "two hundred forty-eight million, one hundred twenty-nine thousand, six hundred forty".