965394000 has 120 divisors (see below), whose sum is σ = 3371862312. Its totient is φ = 257433600.

The previous prime is 965393981. The next prime is 965394037. The reversal of 965394000 is 493569.

965394000 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 4 ways, for example, as 150405696 + 814988304 = 12264^2 + 28548^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8817 + ... + 44816.

Almost surely, 2^965394000 is an apocalyptic number.

965394000 is a gapful number since it is divisible by the number (90) 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 965394000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685931156).

965394000 is an abundant number, since it is smaller than the sum of its proper divisors (2406468312).

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

965394000 is a wasteful number, since it uses less digits than its factorization.

965394000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53662 (or 53643 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 965394000 is about 31070.7901412243. The cubic root of 965394000 is about 988.3289839646.

The spelling of 965394000 in words is "nine hundred sixty-five million, three hundred ninety-four thousand".