252606080 has 128 divisors (see below), whose sum is σ = 631730880. Its totient is φ = 96509952.

The previous prime is 252606049. The next prime is 252606091. The reversal of 252606080 is 80606252.

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

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 15 ways as a sum of consecutive naturals, for example, 1843772 + ... + 1843908.

Almost surely, 2^252606080 is an apocalyptic number.

252606080 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 252606080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315865440).

252606080 is an abundant number, since it is smaller than the sum of its proper divisors (379124800).

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

252606080 is a wasteful number, since it uses less digits than its factorization.

252606080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 252606080 is about 15893.5861277435. The cubic root of 252606080 is about 632.1419325516.

The spelling of 252606080 in words is "two hundred fifty-two million, six hundred six thousand, eighty".