1141920 has 144 divisors (see below), whose sum is σ = 4265352. Its totient is φ = 276480.

The previous prime is 1141909. The next prime is 1141949. The reversal of 1141920 is 291411.

1141920 = T₁₅₆ + T₁₅₇ + ... + T₂₁₉.

It can be written as a sum of positive squares in 4 ways, for example, as 374544 + 767376 = 612^2 + 876^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1141893 and 1141902.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18690 + ... + 18750.

2^1141920 is an apocalyptic number.

1141920 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 1141920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132676).

1141920 is an abundant number, since it is smaller than the sum of its proper divisors (3123432).

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

1141920 is a wasteful number, since it uses less digits than its factorization.

1141920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1141920 is about 1068.6065693229. The cubic root of 1141920 is about 104.5230064651.

The spelling of 1141920 in words is "one million, one hundred forty-one thousand, nine hundred twenty".