536691840 has 256 divisors, whose sum is σ = 1804861440. Its totient is φ = 135475200.

The previous prime is 536691829. The next prime is 536691863. The reversal of 536691840 is 48196635.

It is a super-2 number, since 2×536691840² = 576076262245171200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 536691792 and 536691801.

It is a congruent number.

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, 4225857 + ... + 4225983.

It is an arithmetic number, because the mean of its divisors is an integer number (7050240).

Almost surely, 2^536691840 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 536691840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902430720).

536691840 is an abundant number, since it is smaller than the sum of its proper divisors (1268169600).

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

536691840 is a wasteful number, since it uses less digits than its factorization.

536691840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 536691840 is about 23166.6104555673. The cubic root of 536691840 is about 812.6589650307.

The spelling of 536691840 in words is "five hundred thirty-six million, six hundred ninety-one thousand, eight hundred forty".