252736640 has 128 divisors (see below), whose sum is σ = 669075120. Its totient is φ = 90685440.

The previous prime is 252736609. The next prime is 252736657. The reversal of 252736640 is 46637252.

It can be written as a sum of positive squares in 8 ways, for example, as 87459904 + 165276736 = 9352^2 + 12856^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 252736640.

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, 307430 + ... + 308250.

Almost surely, 2^252736640 is an apocalyptic number.

252736640 is a gapful number since it is divisible by the number (20) 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 252736640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334537560).

252736640 is an abundant number, since it is smaller than the sum of its proper divisors (416338480).

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

252736640 is a wasteful number, since it uses less digits than its factorization.

252736640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The square root of 252736640 is about 15897.6929143823. The cubic root of 252736640 is about 632.2508217699.

It can be divided in two parts, 25273 and 6640, that added together give a palindrome (31913).

The spelling of 252736640 in words is "two hundred fifty-two million, seven hundred thirty-six thousand, six hundred forty".