534916000 has 96 divisors (see below), whose sum is σ = 1323595728. Its totient is φ = 212454400.

The previous prime is 534915989. The next prime is 534916013. The reversal of 534916000 is 619435.

It can be written as a sum of positive squares in 8 ways, for example, as 12702096 + 522213904 = 3564^2 + 22852^2 .

It is a super-2 number, since 2×534916000² = 572270254112000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 534916000.

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, 691614 + ... + 692386.

Almost surely, 2^534916000 is an apocalyptic number.

534916000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534916000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661797864).

534916000 is an abundant number, since it is smaller than the sum of its proper divisors (788679728).

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

534916000 is a wasteful number, since it uses less digits than its factorization.

534916000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 534916000 is about 23128.2511228151. The cubic root of 534916000 is about 811.7616487606.

The spelling of 534916000 in words is "five hundred thirty-four million, nine hundred sixteen thousand".