535999680 has 336 divisors, whose sum is σ = 1960437024. Its totient is φ = 139345920.

The previous prime is 535999657. The next prime is 535999697. The reversal of 535999680 is 86999535.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4743304 + ... + 4743416.

It is an arithmetic number, because the mean of its divisors is an integer number (5834634).

Almost surely, 2^535999680 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 535999680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980218512).

535999680 is an abundant number, since it is smaller than the sum of its proper divisors (1424437344).

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

535999680 is a wasteful number, since it uses less digits than its factorization.

535999680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The square root of 535999680 is about 23151.6668946320. Note that the first 3 decimals coincide. The cubic root of 535999680 is about 812.3094584354.

The spelling of 535999680 in words is "five hundred thirty-five million, nine hundred ninety-nine thousand, six hundred eighty".