534051840 has 176 divisors, whose sum is σ = 1952543232. Its totient is φ = 122044416.

The previous prime is 534051839. The next prime is 534051857. The reversal of 534051840 is 48150435.

534051840 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×534051840² = 570422735614771200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 534051798 and 534051807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105037 + ... + 110003.

Almost surely, 2^534051840 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 534051840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976271616).

534051840 is an abundant number, since it is smaller than the sum of its proper divisors (1418491392).

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

534051840 is a wasteful number, since it uses less digits than its factorization.

534051840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5002 (or 4984 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 534051840 is about 23109.5616574612. The cubic root of 534051840 is about 811.3242778833.

The spelling of 534051840 in words is "five hundred thirty-four million, fifty-one thousand, eight hundred forty".