966453120 has 320 divisors, whose sum is σ = 3504140640. Its totient is φ = 253808640.

The previous prime is 966453113. The next prime is 966453127. The reversal of 966453120 is 21354669.

It is a happy number.

966453120 is a `hidden beast` number, since 9 + 6 + 645 + 3 + 1 + 2 + 0 = 666.

966453120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (966453113) and next prime (966453127).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966453127) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5339430 + ... + 5339610.

Almost surely, 2^966453120 is an apocalyptic number.

966453120 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 966453120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752070320).

966453120 is an abundant number, since it is smaller than the sum of its proper divisors (2537687520).

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

966453120 is a wasteful number, since it uses less digits than its factorization.

966453120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 966453120 is about 31087.8291297414. The cubic root of 966453120 is about 988.6902790875.

The spelling of 966453120 in words is "nine hundred sixty-six million, four hundred fifty-three thousand, one hundred twenty".