201528600 has 192 divisors, whose sum is σ = 769117440. Its totient is φ = 42508800.

The previous prime is 201528583. The next prime is 201528617. The reversal of 201528600 is 6825102.

It is an interprime number because it is at equal distance from previous prime (201528583) and next prime (201528617).

It is a super-2 number, since 2×201528600² = 81227553235920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 52755 + ... + 56445.

It is an arithmetic number, because the mean of its divisors is an integer number (4005820).

Almost surely, 2^201528600 is an apocalyptic number.

201528600 is a gapful number since it is divisible by the number (20) 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 201528600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384558720).

201528600 is an abundant number, since it is smaller than the sum of its proper divisors (567588840).

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

201528600 is a wasteful number, since it uses less digits than its factorization.

201528600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3730 (or 3721 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 201528600 is about 14196.0769228685. The cubic root of 201528600 is about 586.2896524538.

The spelling of 201528600 in words is "two hundred one million, five hundred twenty-eight thousand, six hundred".