964116384 has 288 divisors, whose sum is σ = 3243276288. Its totient is φ = 245414400.

The previous prime is 964116379. The next prime is 964116401. The reversal of 964116384 is 483611469.

It is a super-3 number, since 3×964116384³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5773069 + ... + 5773235.

It is an arithmetic number, because the mean of its divisors is an integer number (11261376).

Almost surely, 2^964116384 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 964116384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621638144).

964116384 is an abundant number, since it is smaller than the sum of its proper divisors (2279159904).

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

964116384 is a wasteful number, since it uses less digits than its factorization.

964116384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 261 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 964116384 is about 31050.2235740743. The cubic root of 964116384 is about 987.8928019980.

The spelling of 964116384 in words is "nine hundred sixty-four million, one hundred sixteen thousand, three hundred eighty-four".