901729368 has 128 divisors (see below), whose sum is σ = 2724235200. Its totient is φ = 275208192.

The previous prime is 901729327. The next prime is 901729403. The reversal of 901729368 is 863927109.

It is a super-3 number, since 3×901729368³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132546 + ... + 139182.

Almost surely, 2^901729368 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 901729368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362117600).

901729368 is an abundant number, since it is smaller than the sum of its proper divisors (1822505832).

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

901729368 is a wasteful number, since it uses less digits than its factorization.

901729368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6706 (or 6696 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 901729368 is about 30028.8089673900. The cubic root of 901729368 is about 966.1073913245.

The spelling of 901729368 in words is "nine hundred one million, seven hundred twenty-nine thousand, three hundred sixty-eight".