1261353600 has 384 divisors, whose sum is σ = 4975723200. Its totient is φ = 310210560.

The previous prime is 1261353493. The next prime is 1261353631. The reversal of 1261353600 is 63531621.

1261353600 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 3 + 53 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1122639 + ... + 1123761.

Almost surely, 2^1261353600 is an apocalyptic number.

1261353600 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 1261353600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487861600).

1261353600 is an abundant number, since it is smaller than the sum of its proper divisors (3714369600).

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

1261353600 is a wasteful number, since it uses less digits than its factorization.

1261353600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 1261353600 is about 35515.5402605676. The cubic root of 1261353600 is about 1080.4689321643.

The spelling of 1261353600 in words is "one billion, two hundred sixty-one million, three hundred fifty-three thousand, six hundred".