964167168 has 80 divisors (see below), whose sum is σ = 2585030976. Its totient is φ = 319334400.

The previous prime is 964167167. The next prime is 964167187. The reversal of 964167168 is 861761469.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (964167167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 248443 + ... + 252293.

Almost surely, 2^964167168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 964167168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292515488).

964167168 is an abundant number, since it is smaller than the sum of its proper divisors (1620863808).

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

964167168 is a wasteful number, since it uses less digits than its factorization.

964167168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4035 (or 4019 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 964167168 is about 31051.0413351952. The cubic root of 964167168 is about 987.9101471609.

The spelling of 964167168 in words is "nine hundred sixty-four million, one hundred sixty-seven thousand, one hundred sixty-eight".