1971120 has 80 divisors (see below), whose sum is σ = 6285312. Its totient is φ = 510720.

The previous prime is 1971119. The next prime is 1971127. The reversal of 1971120 is 211791.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1971127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10225 + ... + 10415.

2^1971120 is an apocalyptic number.

1971120 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 1971120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3142656).

1971120 is an abundant number, since it is smaller than the sum of its proper divisors (4314192).

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

1971120 is a wasteful number, since it uses less digits than its factorization.

1971120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 21.

The square root of 1971120 is about 1403.9658115496. The cubic root of 1971120 is about 125.3827203385.

The spelling of 1971120 in words is "one million, nine hundred seventy-one thousand, one hundred twenty".