1252661760 has 400 divisors, whose sum is σ = 5133528576. Its totient is φ = 285990912.

The previous prime is 1252661759. The next prime is 1252661771. The reversal of 1252661760 is 671662521.

It is a happy number.

1252661760 is a `hidden beast` number, since 1 + 2 + 526 + 61 + 76 + 0 = 666.

It is a super-2 number, since 2×1252661760² = 3138322969932595200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1451089 + ... + 1451951.

Almost surely, 2^1252661760 is an apocalyptic number.

1252661760 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 1252661760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2566764288).

1252661760 is an abundant number, since it is smaller than the sum of its proper divisors (3880866816).

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

1252661760 is an frugal number, since it uses more digits than its factorization.

1252661760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1252661760 is about 35392.9620122419. The cubic root of 1252661760 is about 1077.9814146777.

The spelling of 1252661760 in words is "one billion, two hundred fifty-two million, six hundred sixty-one thousand, seven hundred sixty".