527815680 has 176 divisors, whose sum is σ = 1929747840. Its totient is φ = 120619008.

The previous prime is 527815667. The next prime is 527815697. The reversal of 527815680 is 86518725.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105066 + ... + 109974.

Almost surely, 2^527815680 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 527815680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964873920).

527815680 is an abundant number, since it is smaller than the sum of its proper divisors (1401932160).

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

527815680 is a wasteful number, since it uses less digits than its factorization.

527815680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4944 (or 4926 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 42.

The square root of 527815680 is about 22974.2394868688. The cubic root of 527815680 is about 808.1539425014.

The spelling of 527815680 in words is "five hundred twenty-seven million, eight hundred fifteen thousand, six hundred eighty".