535680000 has 440 divisors, whose sum is σ = 2046344960. Its totient is φ = 138240000.

The previous prime is 535679999. The next prime is 535680011. The reversal of 535680000 is 86535.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17279985 + ... + 17280015.

It is an arithmetic number, because the mean of its divisors is an integer number (4650784).

Almost surely, 2^535680000 is an apocalyptic number.

535680000 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 535680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023172480).

535680000 is an abundant number, since it is smaller than the sum of its proper divisors (1510664960).

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

535680000 is an equidigital number, since it uses as much as digits as its factorization.

535680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 535680000 is about 23144.7618263831. The cubic root of 535680000 is about 812.1479342528.

The spelling of 535680000 in words is "five hundred thirty-five million, six hundred eighty thousand".