1263152880 has 420 divisors, whose sum is σ = 4866954120. Its totient is φ = 304508160.

The previous prime is 1263152873. The next prime is 1263152899. The reversal of 1263152880 is 882513621.

It is a happy number.

1263152880 is a `hidden beast` number, since 1 + 26 + 31 + 528 + 80 = 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 83 ways as a sum of consecutive naturals, for example, 7056631 + ... + 7056809.

It is an arithmetic number, because the mean of its divisors is an integer number (11587986).

Almost surely, 2^1263152880 is an apocalyptic number.

1263152880 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 1263152880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2433477060).

1263152880 is an abundant number, since it is smaller than the sum of its proper divisors (3603801240).

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

1263152880 is a wasteful number, since it uses less digits than its factorization.

1263152880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1263152880 is about 35540.8621167242. The cubic root of 1263152880 is about 1080.9824393706.

The spelling of 1263152880 in words is "one billion, two hundred sixty-three million, one hundred fifty-two thousand, eight hundred eighty".