527790816 has 240 divisors, whose sum is σ = 1868549760. Its totient is φ = 142767360.

The previous prime is 527790799. The next prime is 527790833. The reversal of 527790816 is 618097725.

It is an interprime number because it is at equal distance from previous prime (527790799) and next prime (527790833).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 343971 + ... + 345501.

It is an arithmetic number, because the mean of its divisors is an integer number (7785624).

Almost surely, 2^527790816 is an apocalyptic number.

527790816 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 527790816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934274880).

527790816 is an abundant number, since it is smaller than the sum of its proper divisors (1340758944).

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

527790816 is a wasteful number, since it uses less digits than its factorization.

527790816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 527790816 is about 22973.6983526815. The cubic root of 527790816 is about 808.1412523042.

The spelling of 527790816 in words is "five hundred twenty-seven million, seven hundred ninety thousand, eight hundred sixteen".