1901008 has 40 divisors (see below), whose sum is σ = 4051080. Its totient is φ = 860160.

The previous prime is 1900981. The next prime is 1901021. The reversal of 1901008 is 8001091.

It can be written as a sum of positive squares in 4 ways, for example, as 760384 + 1140624 = 872^2 + 1068^2 .

It is a super-2 number, since 2×1901008² = 7227662832128, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7768 + ... + 8008.

It is an arithmetic number, because the mean of its divisors is an integer number (101277).

2^1901008 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 1901008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2025540).

1901008 is an abundant number, since it is smaller than the sum of its proper divisors (2150072).

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

1901008 is a wasteful number, since it uses less digits than its factorization.

1901008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

The square root of 1901008 is about 1378.7704667565. The cubic root of 1901008 is about 123.8781320878.

Adding to 1901008 its reverse (8001091), we get a palindrome (9902099).

The spelling of 1901008 in words is "one million, nine hundred one thousand, eight".