1901328 has 80 divisors (see below), whose sum is σ = 5791296. Its totient is φ = 529920.

The previous prime is 1901299. The next prime is 1901329. The reversal of 1901328 is 8231091.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1901298 and 1901307.

It is not an unprimeable number, because it can be changed into a prime (1901329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6726 + ... + 7002.

2^1901328 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 1901328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2895648).

1901328 is an abundant number, since it is smaller than the sum of its proper divisors (3889968).

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

1901328 is a wasteful number, since it uses less digits than its factorization.

1901328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 1901328 is about 1378.8865072949. The cubic root of 1901328 is about 123.8850825720.

The spelling of 1901328 in words is "one million, nine hundred one thousand, three hundred twenty-eight".