1901120 has 56 divisors (see below), whose sum is σ = 4885944. Its totient is φ = 700416.

The previous prime is 1901117. The next prime is 1901131. The reversal of 1901120 is 211091.

It can be written as a sum of positive squares in 4 ways, for example, as 200704 + 1700416 = 448^2 + 1304^2 .

It is a super-2 number, since 2×1901120² = 7228514508800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1901095 and 1901104.

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, 3932 + ... + 4388.

It is an arithmetic number, because the mean of its divisors is an integer number (87249).

2^1901120 is an apocalyptic number.

1901120 is a gapful number since it is divisible by the number (10) 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 1901120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2442972).

1901120 is an abundant number, since it is smaller than the sum of its proper divisors (2984824).

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

1901120 is a wasteful number, since it uses less digits than its factorization.

1901120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

The square root of 1901120 is about 1378.8110820558. The cubic root of 1901120 is about 123.8805648460.

The spelling of 1901120 in words is "one million, nine hundred one thousand, one hundred twenty".