964385010 has 96 divisors (see below), whose sum is σ = 2711584512. Its totient is φ = 236874240.

The previous prime is 964384999. The next prime is 964385011. The reversal of 964385010 is 10583469.

964385010 is a `hidden beast` number, since 9 + 643 + 8 + 5 + 0 + 1 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (964385011) 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, 65205 + ... + 78615.

It is an arithmetic number, because the mean of its divisors is an integer number (28245672).

Almost surely, 2^964385010 is an apocalyptic number.

964385010 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 964385010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355792256).

964385010 is an abundant number, since it is smaller than the sum of its proper divisors (1747199502).

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

964385010 is a wasteful number, since it uses less digits than its factorization.

964385010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13488 (or 13485 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 964385010 is about 31054.5489421437. The cubic root of 964385010 is about 987.9845437053.

The spelling of 964385010 in words is "nine hundred sixty-four million, three hundred eighty-five thousand, ten".