534219840 has 672 divisors, whose sum is σ = 2399873280. Its totient is φ = 109486080.

The previous prime is 534219823. The next prime is 534219841. The reversal of 534219840 is 48912435.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 534219795 and 534219804.

It is not an unprimeable number, because it can be changed into a prime (534219841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7318044 + ... + 7318116.

It is an arithmetic number, because the mean of its divisors is an integer number (3571240).

Almost surely, 2^534219840 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 534219840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199936640).

534219840 is an abundant number, since it is smaller than the sum of its proper divisors (1865653440).

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

534219840 is a wasteful number, since it uses less digits than its factorization.

534219840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 534219840 is about 23113.1962307250. The cubic root of 534219840 is about 811.4093434009.

The spelling of 534219840 in words is "five hundred thirty-four million, two hundred nineteen thousand, eight hundred forty".