1301186880 has 672 divisors, whose sum is σ = 5579059200. Its totient is φ = 271724544.

The previous prime is 1301186879. The next prime is 1301186897. The reversal of 1301186880 is 886811031.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 16470681 + ... + 16470759.

Almost surely, 2^1301186880 is an apocalyptic number.

1301186880 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 1301186880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2789529600).

1301186880 is an abundant number, since it is smaller than the sum of its proper divisors (4277872320).

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

1301186880 is a wasteful number, since it uses less digits than its factorization.

1301186880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1301186880 is about 36071.9680638581. The cubic root of 1301186880 is about 1091.7249236695.

The spelling of 1301186880 in words is "one billion, three hundred one million, one hundred eighty-six thousand, eight hundred eighty".