953964 has 72 divisors (see below), whose sum is σ = 2755760. Its totient is φ = 285120.

The previous prime is 953941. The next prime is 953969. The reversal of 953964 is 469359.

It is a super-4 number, since 4×953964⁴ (a number of 25 digits) contains 4444 as substring.

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

Its product of digits (29160) is a multiple of the sum of its prime factors (108).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 953964.

It is not an unprimeable number, because it can be changed into a prime (953969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13032 + ... + 13104.

2⁹⁵³⁹⁶⁴ 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 953964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377880).

953964 is an abundant number, since it is smaller than the sum of its proper divisors (1801796).

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

953964 is a wasteful number, since it uses less digits than its factorization.

953964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 89 counting only the distinct ones).

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

The square root of 953964 is about 976.7108067386. The cubic root of 953964 is about 98.4412973592.

The spelling of 953964 in words is "nine hundred fifty-three thousand, nine hundred sixty-four".