536516640 has 144 divisors (see below), whose sum is σ = 1997364096. Its totient is φ = 130060800.

The previous prime is 536516627. The next prime is 536516641. The reversal of 536516640 is 46615635.

536516640 is a `hidden beast` number, since 5 + 3 + 6 + 5 + 1 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 536516595 and 536516604.

It is not an unprimeable number, because it can be changed into a prime (536516641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1096 + ... + 32775.

It is an arithmetic number, because the mean of its divisors is an integer number (13870584).

Almost surely, 2^536516640 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 536516640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998682048).

536516640 is an abundant number, since it is smaller than the sum of its proper divisors (1460847456).

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

536516640 is a wasteful number, since it uses less digits than its factorization.

536516640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33903 (or 33892 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 536516640 is about 23162.8288427817. The cubic root of 536516640 is about 812.5705261069.

The spelling of 536516640 in words is "five hundred thirty-six million, five hundred sixteen thousand, six hundred forty".