527199120 has 240 divisors, whose sum is σ = 2093794560. Its totient is φ = 116315136.

The previous prime is 527199119. The next prime is 527199133. The reversal of 527199120 is 21991725.

527199120 is a `hidden beast` number, since 527 + 1 + 9 + 9 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 144357 + ... + 147963.

It is an arithmetic number, because the mean of its divisors is an integer number (8724144).

Almost surely, 2^527199120 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 527199120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1046897280).

527199120 is an abundant number, since it is smaller than the sum of its proper divisors (1566595440).

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

527199120 is a wasteful number, since it uses less digits than its factorization.

527199120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3662 (or 3653 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 527199120 is about 22960.8170586327. The cubic root of 527199120 is about 807.8391422423.

Adding to 527199120 its sum of digits (36), we get a triangular number (527199156 = T₃₂₄₇₁).

The spelling of 527199120 in words is "five hundred twenty-seven million, one hundred ninety-nine thousand, one hundred twenty".