1901088 has 144 divisors (see below), whose sum is σ = 6604416. Its totient is φ = 506880.

The previous prime is 1901087. The next prime is 1901089. The reversal of 1901088 is 8801091.

It is an interprime number because it is at equal distance from previous prime (1901087) and next prime (1901089).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1901088² = 7228271167488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1901087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46348 + ... + 46388.

It is an arithmetic number, because the mean of its divisors is an integer number (45864).

2^1901088 is an apocalyptic number.

1901088 is a gapful number since it is divisible by the number (18) 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 1901088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3302208).

1901088 is an abundant number, since it is smaller than the sum of its proper divisors (4703328).

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

1901088 is a wasteful number, since it uses less digits than its factorization.

1901088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 1901088 is about 1378.7994778067. The cubic root of 1901088 is about 123.8798697819.

The spelling of 1901088 in words is "one million, nine hundred one thousand, eighty-eight".