534648240 has 240 divisors, whose sum is σ = 2100603648. Its totient is φ = 119314944.

The previous prime is 534648223. The next prime is 534648253. The reversal of 534648240 is 42846435.

534648240 is a `hidden beast` number, since 5 + 3 + 4 + 648 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 534648195 and 534648204.

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 47 ways as a sum of consecutive naturals, for example, 215487 + ... + 217953.

Almost surely, 2^534648240 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 534648240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050301824).

534648240 is an abundant number, since it is smaller than the sum of its proper divisors (1565955408).

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

534648240 is a wasteful number, since it uses less digits than its factorization.

534648240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2536 (or 2527 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 534648240 is about 23122.4618066503. The cubic root of 534648240 is about 811.6261797796.

The spelling of 534648240 in words is "five hundred thirty-four million, six hundred forty-eight thousand, two hundred forty".