5955264 has 126 divisors (see below), whose sum is σ = 19950684. Its totient is φ = 1693440.

The previous prime is 5955259. The next prime is 5955281. The reversal of 5955264 is 4625595.

5955264 = T₃₉₉ + T₄₀₀ + ... + T₄₆₂.

5955264 is a `hidden beast` number, since 595 + 5 + 2 + 64 = 666.

5955264 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (126).

It is a super-3 number, since 3×5955264³ (a number of 21 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a d-powerful number, because it can be written as 5⁹ + 9² + 5⁹ + 5⁹ + 2¹⁵ + 6⁶ + 4⁷ .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28119 + ... + 28329.

Almost surely, 2^5955264 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 5955264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9975342).

5955264 is an abundant number, since it is smaller than the sum of its proper divisors (13995420).

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

5955264 is a wasteful number, since it uses less digits than its factorization.

5955264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 223 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 5955264 is about 2440.3409597841. The cubic root of 5955264 is about 181.2593171588.

The spelling of 5955264 in words is "five million, nine hundred fifty-five thousand, two hundred sixty-four".