527963976 has 96 divisors (see below), whose sum is σ = 1510629120. Its totient is φ = 166320000.

The previous prime is 527963941. The next prime is 527963983. The reversal of 527963976 is 679369725.

It is a super-3 number, since 3×527963976³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93226 + ... + 98726.

It is an arithmetic number, because the mean of its divisors is an integer number (15735720).

Almost surely, 2^527963976 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 527963976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755314560).

527963976 is an abundant number, since it is smaller than the sum of its proper divisors (982665144).

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

527963976 is a wasteful number, since it uses less digits than its factorization.

527963976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5587 (or 5580 counting only the distinct ones).

The product of its digits is 4286520, while the sum is 54.

The square root of 527963976 is about 22977.4667010965. The cubic root of 527963976 is about 808.2296221874.

Subtracting from 527963976 its product of digits (4286520), we obtain a square (523677456 = 22884²).

It can be divided in two parts, 5 and 27963976, that added together give a triangular number (27963981 = T₇₄₇₈).

The spelling of 527963976 in words is "five hundred twenty-seven million, nine hundred sixty-three thousand, nine hundred seventy-six".