201527040 has 288 divisors, whose sum is σ = 758209536. Its totient is φ = 44974080.

The previous prime is 201527009. The next prime is 201527047. The reversal of 201527040 is 40725102.

It is a super-2 number, since 2×201527040² = 81226295702323200, which contains 22 as substring.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 201526998 and 201527016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201527047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 548937 + ... + 549303.

It is an arithmetic number, because the mean of its divisors is an integer number (2632672).

Almost surely, 2^201527040 is an apocalyptic number.

201527040 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 201527040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379104768).

201527040 is an abundant number, since it is smaller than the sum of its proper divisors (556682496).

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

201527040 is a wasteful number, since it uses less digits than its factorization.

201527040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 201527040 is about 14196.0219780050. The cubic root of 201527040 is about 586.2881396590.

The spelling of 201527040 in words is "two hundred one million, five hundred twenty-seven thousand, forty".