1261285600 has 72 divisors (see below), whose sum is σ = 3162406968. Its totient is φ = 490867200.

The previous prime is 1261285579. The next prime is 1261285609. The reversal of 1261285600 is 65821621.

1261285600 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1261285609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8295 + ... + 50905.

It is an arithmetic number, because the mean of its divisors is an integer number (43922319).

Almost surely, 2^1261285600 is an apocalyptic number.

1261285600 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 1261285600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581203484).

1261285600 is an abundant number, since it is smaller than the sum of its proper divisors (1901121368).

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

1261285600 is a wasteful number, since it uses less digits than its factorization.

1261285600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42668 (or 42655 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 1261285600 is about 35514.5829202597. The cubic root of 1261285600 is about 1080.4495156666.

The spelling of 1261285600 in words is "one billion, two hundred sixty-one million, two hundred eighty-five thousand, six hundred".