201624540 has 96 divisors (see below), whose sum is σ = 616478016. Its totient is φ = 48936960.

The previous prime is 201624517. The next prime is 201624541. The reversal of 201624540 is 45426102.

It is a self number, because there is not a number n which added to its sum of digits gives 201624540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201624541) 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, 55170 + ... + 58710.

It is an arithmetic number, because the mean of its divisors is an integer number (6421646).

Almost surely, 2^201624540 is an apocalyptic number.

201624540 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 201624540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308239008).

201624540 is an abundant number, since it is smaller than the sum of its proper divisors (414853476).

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

201624540 is a wasteful number, since it uses less digits than its factorization.

201624540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3639 (or 3637 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 201624540 is about 14199.4556233681. The cubic root of 201624540 is about 586.3826743304.

The spelling of 201624540 in words is "two hundred one million, six hundred twenty-four thousand, five hundred forty".