534951648 has 576 divisors, whose sum is σ = 2123573760. Its totient is φ = 127733760.

The previous prime is 534951629. The next prime is 534951653. The reversal of 534951648 is 846159435.

534951648 is a `hidden beast` number, since 53 + 49 + 516 + 48 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (518400) is a multiple of the sum of its prime factors (108).

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 95 ways as a sum of consecutive naturals, for example, 12440715 + ... + 12440757.

It is an arithmetic number, because the mean of its divisors is an integer number (3686760).

Almost surely, 2^534951648 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 534951648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061786880).

534951648 is an abundant number, since it is smaller than the sum of its proper divisors (1588622112).

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

534951648 is a wasteful number, since it uses less digits than its factorization.

534951648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 83 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 534951648 is about 23129.0217691972. The cubic root of 534951648 is about 811.7796808980.

The spelling of 534951648 in words is "five hundred thirty-four million, nine hundred fifty-one thousand, six hundred forty-eight".