536970240 has 264 divisors, whose sum is σ = 1910882688. Its totient is φ = 139345920.

The previous prime is 536970221. The next prime is 536970271. The reversal of 536970240 is 42079635.

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 = 536970195 and 536970204.

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, 1981305 + ... + 1981575.

It is an arithmetic number, because the mean of its divisors is an integer number (7238192).

Almost surely, 2^536970240 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 536970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955441344).

536970240 is an abundant number, since it is smaller than the sum of its proper divisors (1373912448).

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

536970240 is a wasteful number, since it uses less digits than its factorization.

536970240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 536970240 is about 23172.6183242205. The cubic root of 536970240 is about 812.7994585319.

The spelling of 536970240 in words is "five hundred thirty-six million, nine hundred seventy thousand, two hundred forty".