964196500 has 96 divisors (see below), whose sum is σ = 2168423712. Its totient is φ = 374400000.

The previous prime is 964196461. The next prime is 964196507. The reversal of 964196500 is 5691469.

964196500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 921972496 + 42224004 = 30364^2 + 6498^2 .

It is a super-2 number, since 2×964196500² = 1859349781224500000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (964196507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3080344 + ... + 3080656.

It is an arithmetic number, because the mean of its divisors is an integer number (22587747).

Almost surely, 2^964196500 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 964196500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084211856).

964196500 is an abundant number, since it is smaller than the sum of its proper divisors (1204227212).

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

964196500 is a wasteful number, since it uses less digits than its factorization.

964196500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

The square root of 964196500 is about 31051.5136507063. The cubic root of 964196500 is about 987.9201651632.

The spelling of 964196500 in words is "nine hundred sixty-four million, one hundred ninety-six thousand, five hundred".