536754240 has 168 divisors, whose sum is σ = 2014167168. Its totient is φ = 130114560.

The previous prime is 536754223. The next prime is 536754263. The reversal of 536754240 is 42457635.

536754240 is a `hidden beast` number, since 5 + 367 + 54 + 240 = 666.

It is a super-2 number, since 2×536754240² = 576210228315955200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 536754195 and 536754204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23209 + ... + 40151.

Almost surely, 2^536754240 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 536754240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007083584).

536754240 is an abundant number, since it is smaller than the sum of its proper divisors (1477412928).

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

536754240 is a wasteful number, since it uses less digits than its factorization.

536754240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16977 (or 16964 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 536754240 is about 23167.9571822809. The cubic root of 536754240 is about 812.6904591772.

The spelling of 536754240 in words is "five hundred thirty-six million, seven hundred fifty-four thousand, two hundred forty".