536645880 has 192 divisors, whose sum is σ = 1864886400. Its totient is φ = 133436160.

The previous prime is 536645873. The next prime is 536645909. The reversal of 536645880 is 88546635.

536645880 is a `hidden beast` number, since 5 + 3 + 6 + 64 + 588 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 457695 + ... + 458865.

It is an arithmetic number, because the mean of its divisors is an integer number (9712950).

Almost surely, 2^536645880 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 536645880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932443200).

536645880 is an abundant number, since it is smaller than the sum of its proper divisors (1328240520).

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

536645880 is a wasteful number, since it uses less digits than its factorization.

536645880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 536645880 is about 23165.6184894770. The cubic root of 536645880 is about 812.6357668193.

It can be divided in two parts, 536 and 645880, that added together give a square (646416 = 804²).

The spelling of 536645880 in words is "five hundred thirty-six million, six hundred forty-five thousand, eight hundred eighty".