201388032 has 130 divisors (see below), whose sum is σ = 602595488. Its totient is φ = 67018752.

The previous prime is 201387961. The next prime is 201388037. The reversal of 201388032 is 230883102.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 201387987 and 201388005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201388037) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 331473 + ... + 332079.

Almost surely, 2^201388032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201388032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301297744).

201388032 is an abundant number, since it is smaller than the sum of its proper divisors (401207456).

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

201388032 is an frugal number, since it uses more digits than its factorization.

201388032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 201388032 is about 14191.1251139577. The cubic root of 201388032 is about 586.1533066569.

The spelling of 201388032 in words is "two hundred one million, three hundred eighty-eight thousand, thirty-two".