964214000 has 80 divisors (see below), whose sum is σ = 2353391040. Its totient is φ = 382060800.

The previous prime is 964213997. The next prime is 964214051. The reversal of 964214000 is 412469.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215789 + ... + 220211.

It is an arithmetic number, because the mean of its divisors is an integer number (29417388).

Almost surely, 2^964214000 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 964214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176695520).

964214000 is an abundant number, since it is smaller than the sum of its proper divisors (1389177040).

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

964214000 is a wasteful number, since it uses less digits than its factorization.

964214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4555 (or 4539 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 964214000 is about 31051.7954392335. The cubic root of 964214000 is about 987.9261419872.

Adding to 964214000 its reverse (412469), we get a palindrome (964626469).

The spelling of 964214000 in words is "nine hundred sixty-four million, two hundred fourteen thousand".