1252679680 has 224 divisors, whose sum is σ = 3651967296. Its totient is φ = 402653184.

The previous prime is 1252679677. The next prime is 1252679689. The reversal of 1252679680 is 869762521.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 1252679680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1252679689) 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, 4874112 + ... + 4874368.

Almost surely, 2^1252679680 is an apocalyptic number.

1252679680 is a gapful number since it is divisible by the number (10) 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 1252679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825983648).

1252679680 is an abundant number, since it is smaller than the sum of its proper divisors (2399287616).

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

1252679680 is an equidigital number, since it uses as much as digits as its factorization.

1252679680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The square root of 1252679680 is about 35393.2151690123. The cubic root of 1252679680 is about 1077.9865550211.

The spelling of 1252679680 in words is "one billion, two hundred fifty-two million, six hundred seventy-nine thousand, six hundred eighty".