201012624 has 160 divisors (see below), whose sum is σ = 619246080. Its totient is φ = 62208000.

The previous prime is 201012619. The next prime is 201012653. The reversal of 201012624 is 426210102.

201012624 is a `hidden beast` number, since 20 + 10 + 12 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201012597 and 201012606.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 741609 + ... + 741879.

It is an arithmetic number, because the mean of its divisors is an integer number (3870288).

Almost surely, 2^201012624 is an apocalyptic number.

201012624 is a gapful number since it is divisible by the number (24) 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 201012624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309623040).

201012624 is an abundant number, since it is smaller than the sum of its proper divisors (418233456).

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

201012624 is a wasteful number, since it uses less digits than its factorization.

201012624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 201012624 is about 14177.8920859202. The cubic root of 201012624 is about 585.7888634309.

Adding to 201012624 its reverse (426210102), we get a palindrome (627222726).

The spelling of 201012624 in words is "two hundred one million, twelve thousand, six hundred twenty-four".