252066640 has 160 divisors (see below), whose sum is σ = 699669504. Its totient is φ = 82667520.

The previous prime is 252066613. The next prime is 252066677. The reversal of 252066640 is 46660252.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1605442 + ... + 1605598.

Almost surely, 2^252066640 is an apocalyptic number.

252066640 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 252066640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349834752).

252066640 is an abundant number, since it is smaller than the sum of its proper divisors (447602864).

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

252066640 is a wasteful number, since it uses less digits than its factorization.

252066640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 252066640 is about 15876.6066903479. The cubic root of 252066640 is about 631.6916323986.

The spelling of 252066640 in words is "two hundred fifty-two million, sixty-six thousand, six hundred forty".