534846960 has 120 divisors (see below), whose sum is σ = 1890779280. Its totient is φ = 135115776.

The previous prime is 534846959. The next prime is 534846989. The reversal of 534846960 is 69648435.

534846960 is a `hidden beast` number, since 53 + 484 + 69 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×534846960² = 572122541242483200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 5869 + ... + 33228.

It is an arithmetic number, because the mean of its divisors is an integer number (15756494).

Almost surely, 2^534846960 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 534846960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945389640).

534846960 is an abundant number, since it is smaller than the sum of its proper divisors (1355932320).

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

534846960 is a wasteful number, since it uses less digits than its factorization.

534846960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39135 (or 39126 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 534846960 is about 23126.7585277315. The cubic root of 534846960 is about 811.7267233794.

The spelling of 534846960 in words is "five hundred thirty-four million, eight hundred forty-six thousand, nine hundred sixty".