964809216 has 180 divisors, whose sum is σ = 3239875782. Its totient is φ = 275595264.

The previous prime is 964809203. The next prime is 964809229. The reversal of 964809216 is 612908469.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (964809203) and next prime (964809229).

It can be written as a sum of positive squares in only one way, i.e., 894249216 + 70560000 = 29904^2 + 8400^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 223656 + ... + 227928.

Almost surely, 2^964809216 is an apocalyptic number.

964809216 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 964809216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619937891).

964809216 is an abundant number, since it is smaller than the sum of its proper divisors (2275066566).

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

964809216 is a wasteful number, since it uses less digits than its factorization.

964809216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4311 (or 4285 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 964809216 is about 31061.3782050958. The cubic root of 964809216 is about 988.1293847285.

The spelling of 964809216 in words is "nine hundred sixty-four million, eight hundred nine thousand, two hundred sixteen".