201528690 has 64 divisors (see below), whose sum is σ = 530105472. Its totient is φ = 48627200.

The previous prime is 201528673. The next prime is 201528703. The reversal of 201528690 is 96825102.

It is a super-2 number, since 2×201528690² = 81227625786232200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75580 + ... + 78200.

It is an arithmetic number, because the mean of its divisors is an integer number (8282898).

Almost surely, 2^201528690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201528690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265052736).

201528690 is an abundant number, since it is smaller than the sum of its proper divisors (328576782).

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

201528690 is a wasteful number, since it uses less digits than its factorization.

201528690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2875.

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 201528690 is about 14196.0800927580. The cubic root of 201528690 is about 586.2897397302.

The spelling of 201528690 in words is "two hundred one million, five hundred twenty-eight thousand, six hundred ninety".