916528536 has 432 divisors, whose sum is σ = 3370512600. Its totient is φ = 223534080.

The previous prime is 916528519. The next prime is 916528537. The reversal of 916528536 is 635825619.

916528536 is a `hidden beast` number, since 91 + 6 + 5 + 28 + 536 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (388800) is a multiple of the sum of its prime factors (180).

It is a junction number, because it is equal to n+sod(n) for n = 916528491 and 916528500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (916528537) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 8110816 + ... + 8110928.

Almost surely, 2^916528536 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 916528536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685256300).

916528536 is an abundant number, since it is smaller than the sum of its proper divisors (2453984064).

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

916528536 is a wasteful number, since it uses less digits than its factorization.

916528536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 155 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 916528536 is about 30274.2223021501. Note that the first 3 decimals coincide. The cubic root of 916528536 is about 971.3639846745.

The spelling of 916528536 in words is "nine hundred sixteen million, five hundred twenty-eight thousand, five hundred thirty-six".