534915360 has 576 divisors, whose sum is σ = 2304288000. Its totient is φ = 115831296.

The previous prime is 534915331. The next prime is 534915361. The reversal of 534915360 is 63519435.

534915360 is a `hidden beast` number, since 5 + 34 + 91 + 536 + 0 = 666.

It is a super-2 number, since 2×534915360² = 572268884727859200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534915361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28153431 + ... + 28153449.

It is an arithmetic number, because the mean of its divisors is an integer number (4000500).

Almost surely, 2^534915360 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 534915360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152144000).

534915360 is an abundant number, since it is smaller than the sum of its proper divisors (1769372640).

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

534915360 is a wasteful number, since it uses less digits than its factorization.

534915360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 534915360 is about 23128.2372869183. The cubic root of 534915360 is about 811.7613250165.

The spelling of 534915360 in words is "five hundred thirty-four million, nine hundred fifteen thousand, three hundred sixty".