532762560 has 336 divisors, whose sum is σ = 2036990592. Its totient is φ = 126720000.

The previous prime is 532762537. The next prime is 532762583. The reversal of 532762560 is 65267235.

It is a happy number.

532762560 is a `hidden beast` number, since 5 + 3 + 27 + 625 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (532762537) and next prime (532762583).

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

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, 2122435 + ... + 2122685.

It is an arithmetic number, because the mean of its divisors is an integer number (6062472).

Almost surely, 2^532762560 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 532762560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018495296).

532762560 is an abundant number, since it is smaller than the sum of its proper divisors (1504228032).

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

532762560 is a wasteful number, since it uses less digits than its factorization.

532762560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 532762560 is about 23081.6498543757. The cubic root of 532762560 is about 810.6708662544.

The spelling of 532762560 in words is "five hundred thirty-two million, seven hundred sixty-two thousand, five hundred sixty".