1256660352 has 128 divisors (see below), whose sum is σ = 3772368000. Its totient is φ = 411720192.

The previous prime is 1256660303. The next prime is 1256660359. The reversal of 1256660352 is 2530666521.

It is a happy number.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1256660359) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200823 + ... + 206985.

It is an arithmetic number, because the mean of its divisors is an integer number (29471625).

Almost surely, 2^1256660352 is an apocalyptic number.

1256660352 is a gapful number since it is divisible by the number (12) 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 1256660352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886184000).

1256660352 is an abundant number, since it is smaller than the sum of its proper divisors (2515707648).

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

1256660352 is an equidigital number, since it uses as much as digits as its factorization.

1256660352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6245 (or 6227 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 1256660352 is about 35449.4055239295. The cubic root of 1256660352 is about 1079.1271960665.

The spelling of 1256660352 in words is "one billion, two hundred fifty-six million, six hundred sixty thousand, three hundred fifty-two".