964613200 has 60 divisors (see below), whose sum is σ = 2338101468. Its totient is φ = 382412800.

The previous prime is 964613189. The next prime is 964613213. The reversal of 964613200 is 2316469.

It can be written as a sum of positive squares in 6 ways, for example, as 11532816 + 953080384 = 3396^2 + 30872^2 .

It is a super-2 number, since 2×964613200² = 1860957251228480000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34530 + ... + 55870.

Almost surely, 2^964613200 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 964613200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169050734).

964613200 is an abundant number, since it is smaller than the sum of its proper divisors (1373488268).

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

964613200 is a wasteful number, since it uses less digits than its factorization.

964613200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21472 (or 21461 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 964613200 is about 31058.2227437437. Note that the first 3 decimals coincide. The cubic root of 964613200 is about 988.0624622445.

Adding to 964613200 its reverse (2316469), we get a palindrome (966929669).

The spelling of 964613200 in words is "nine hundred sixty-four million, six hundred thirteen thousand, two hundred".