964388160 has 336 divisors, whose sum is σ = 3573353280. Its totient is φ = 244823040.

The previous prime is 964388153. The next prime is 964388167. The reversal of 964388160 is 61883469.

964388160 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 (964388153) and next prime (964388167).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (964388167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4570455 + ... + 4570665.

It is an arithmetic number, because the mean of its divisors is an integer number (10634980).

Almost surely, 2^964388160 is an apocalyptic number.

964388160 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 964388160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786676640).

964388160 is an abundant number, since it is smaller than the sum of its proper divisors (2608965120).

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

964388160 is a wasteful number, since it uses less digits than its factorization.

964388160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 964388160 is about 31054.5996593097. The cubic root of 964388160 is about 987.9856193987.

The spelling of 964388160 in words is "nine hundred sixty-four million, three hundred eighty-eight thousand, one hundred sixty".