534784640 has 256 divisors, whose sum is σ = 1542240000. Its totient is φ = 175177728.

The previous prime is 534784639. The next prime is 534784699. The reversal of 534784640 is 46487435.

It is a super-2 number, since 2×534784640² = 571989222359859200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2687261 + ... + 2687459.

It is an arithmetic number, because the mean of its divisors is an integer number (6024375).

Almost surely, 2^534784640 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 534784640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771120000).

534784640 is an abundant number, since it is smaller than the sum of its proper divisors (1007455360).

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

534784640 is a wasteful number, since it uses less digits than its factorization.

534784640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 41.

The square root of 534784640 is about 23125.4111314805. The cubic root of 534784640 is about 811.6951948750.

The spelling of 534784640 in words is "five hundred thirty-four million, seven hundred eighty-four thousand, six hundred forty".