968553180 has 192 divisors, whose sum is σ = 3483648000. Its totient is φ = 218820096.

The previous prime is 968553167. The next prime is 968553191. The reversal of 968553180 is 81355869.

968553180 is a `hidden beast` number, since 96 + 8 + 553 + 1 + 8 + 0 = 666.

It is a super-2 number, since 2×968553180² = 1876190524976224800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 334981 + ... + 337859.

It is an arithmetic number, because the mean of its divisors is an integer number (18144000).

Almost surely, 2^968553180 is an apocalyptic number.

968553180 is a gapful number since it is divisible by the number (90) 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 968553180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741824000).

968553180 is an abundant number, since it is smaller than the sum of its proper divisors (2515094820).

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

968553180 is a wasteful number, since it uses less digits than its factorization.

968553180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2993 (or 2985 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 968553180 is about 31121.5870417946. The cubic root of 968553180 is about 989.4058877975.

The spelling of 968553180 in words is "nine hundred sixty-eight million, five hundred fifty-three thousand, one hundred eighty".