964668096 has 168 divisors, whose sum is σ = 3299246640. Its totient is φ = 275595264.

The previous prime is 964668059. The next prime is 964668097. The reversal of 964668096 is 690866469.

It is a happy number.

964668096 is a `hidden beast` number, since 96 + 466 + 8 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (964668097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78976 + ... + 90368.

Almost surely, 2^964668096 is an apocalyptic number.

964668096 is a gapful number since it is divisible by the number (96) 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 964668096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649623320).

964668096 is an abundant number, since it is smaller than the sum of its proper divisors (2334578544).

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

964668096 is a wasteful number, since it uses less digits than its factorization.

964668096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11428 (or 11405 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The square root of 964668096 is about 31059.1064906897. The cubic root of 964668096 is about 988.0812053870.

The spelling of 964668096 in words is "nine hundred sixty-four million, six hundred sixty-eight thousand, ninety-six".