964761600 has 288 divisors, whose sum is σ = 3485401920. Its totient is φ = 233472000.

The previous prime is 964761593. The next prime is 964761607. The reversal of 964761600 is 6167469.

It is an interprime number because it is at equal distance from previous prime (964761593) and next prime (964761607).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (964761607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1689315 + ... + 1689885.

It is an arithmetic number, because the mean of its divisors is an integer number (12102090).

Almost surely, 2^964761600 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 964761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742700960).

964761600 is an abundant number, since it is smaller than the sum of its proper divisors (2520640320).

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

964761600 is a wasteful number, since it uses less digits than its factorization.

964761600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 964761600 is about 31060.6117132293. The cubic root of 964761600 is about 988.1131288228.

The spelling of 964761600 in words is "nine hundred sixty-four million, seven hundred sixty-one thousand, six hundred".