1171890720 has 768 divisors, whose sum is σ = 5527388160. Its totient is φ = 223948800.

The previous prime is 1171890691. The next prime is 1171890763. The reversal of 1171890720 is 270981711.

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 127 ways as a sum of consecutive naturals, for example, 4324185 + ... + 4324455.

It is an arithmetic number, because the mean of its divisors is an integer number (7197120).

Almost surely, 2^1171890720 is an apocalyptic number.

1171890720 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 1171890720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2763694080).

1171890720 is an abundant number, since it is smaller than the sum of its proper divisors (4355497440).

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

1171890720 is a wasteful number, since it uses less digits than its factorization.

1171890720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 36.

The square root of 1171890720 is about 34232.8894485990. The cubic root of 1171890720 is about 1054.2955458324.

Subtracting from 1171890720 its reverse (270981711), we obtain a palindrome (900909009).

The spelling of 1171890720 in words is "one billion, one hundred seventy-one million, eight hundred ninety thousand, seven hundred twenty".