252836640 has 288 divisors, whose sum is σ = 1023684480. Its totient is φ = 57729024.

The previous prime is 252836599. The next prime is 252836663. The reversal of 252836640 is 46638252.

252836640 is a `hidden beast` number, since 2 + 5 + 2 + 8 + 3 + 6 + 640 = 666.

252836640 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 (288).

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 = 252836595 and 252836604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271696 + ... + 272624.

It is an arithmetic number, because the mean of its divisors is an integer number (3554460).

Almost surely, 2^252836640 is an apocalyptic number.

252836640 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 252836640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511842240).

252836640 is an abundant number, since it is smaller than the sum of its proper divisors (770847840).

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

252836640 is an equidigital number, since it uses as much as digits as its factorization.

252836640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 252836640 is about 15900.8377137810. The cubic root of 252836640 is about 632.3341980799.

The spelling of 252836640 in words is "two hundred fifty-two million, eight hundred thirty-six thousand, six hundred forty".