953984 has 32 divisors (see below), whose sum is σ = 1973700. Its totient is φ = 458752.

The previous prime is 953983. The next prime is 953987. The reversal of 953984 is 489359.

It can be written as a sum of positive squares in 2 ways, for example, as 846400 + 107584 = 920^2 + 328^2 .

It is a tau number, because it is divible by the number of its divisors (32).

Its product of digits (38880) is a multiple of the sum of its prime divisors (288).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 953984.

It is not an unprimeable number, because it can be changed into a prime (953983) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3584 + ... + 3840.

2⁹⁵³⁹⁸⁴ 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 953984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986850).

953984 is an abundant number, since it is smaller than the sum of its proper divisors (1019716).

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

953984 is a wasteful number, since it uses less digits than its factorization.

953984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 288 counting only the distinct ones).

The product of its digits is 38880, while the sum is 38.

The square root of 953984 is about 976.7210451301. The cubic root of 953984 is about 98.4419852999.

The spelling of 953984 in words is "nine hundred fifty-three thousand, nine hundred eighty-four".