1260089600 has 216 divisors, whose sum is σ = 3890042688. Its totient is φ = 392601600.

The previous prime is 1260089591. The next prime is 1260089603. The reversal of 1260089600 is 69800621.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (1260089603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 491522 + ... + 494078.

Almost surely, 2^1260089600 is an apocalyptic number.

1260089600 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 1260089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1945021344).

1260089600 is an abundant number, since it is smaller than the sum of its proper divisors (2629953088).

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

1260089600 is a wasteful number, since it uses less digits than its factorization.

1260089600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2601 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 1260089600 is about 35497.7407731816. The cubic root of 1260089600 is about 1080.1078995992.

It can be divided in two parts, 12600 and 89600, that multiplied together give a square (1128960000 = 33600²).

The spelling of 1260089600 in words is "one billion, two hundred sixty million, eighty-nine thousand, six hundred".