1261554048 has 256 divisors, whose sum is σ = 3965760000. Its totient is φ = 393947136.

The previous prime is 1261554031. The next prime is 1261554061. The reversal of 1261554048 is 8404551621.

It is a happy number.

1261554048 is a `hidden beast` number, since 1 + 2 + 61 + 554 + 0 + 48 = 666.

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 31 ways as a sum of consecutive naturals, for example, 4689658 + ... + 4689926.

It is an arithmetic number, because the mean of its divisors is an integer number (15491250).

Almost surely, 2^1261554048 is an apocalyptic number.

1261554048 is a gapful number since it is divisible by the number (18) 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 1261554048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982880000).

1261554048 is an abundant number, since it is smaller than the sum of its proper divisors (2704205952).

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

1261554048 is a wasteful number, since it uses less digits than its factorization.

1261554048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 1261554048 is about 35518.3621243998. The cubic root of 1261554048 is about 1080.5261633708.

The spelling of 1261554048 in words is "one billion, two hundred sixty-one million, five hundred fifty-four thousand, forty-eight".