964321000 has 64 divisors (see below), whose sum is σ = 2354676480. Its totient is φ = 368948800.

The previous prime is 964320983. The next prime is 964321037. The reversal of 964321000 is 123469.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2037 + ... + 43963.

It is an arithmetic number, because the mean of its divisors is an integer number (36791820).

Almost surely, 2^964321000 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 964321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177338240).

964321000 is an abundant number, since it is smaller than the sum of its proper divisors (1390355480).

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

964321000 is a wasteful number, since it uses less digits than its factorization.

964321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41971 (or 41957 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 964321000 is about 31053.5183191857. The cubic root of 964321000 is about 987.9626844239.

Adding to 964321000 its reverse (123469), we get a palindrome (964444469).

The spelling of 964321000 in words is "nine hundred sixty-four million, three hundred twenty-one thousand".