1954080 has 144 divisors (see below), whose sum is σ = 7076160. Its totient is φ = 489984.

The previous prime is 1954033. The next prime is 1954087. The reversal of 1954080 is 804591.

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

It is not an unprimeable number, because it can be changed into a prime (1954087) 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, 33091 + ... + 33149.

It is an arithmetic number, because the mean of its divisors is an integer number (49140).

2^1954080 is an apocalyptic number.

1954080 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 1954080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538080).

1954080 is an abundant number, since it is smaller than the sum of its proper divisors (5122080).

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

1954080 is a wasteful number, since it uses less digits than its factorization.

1954080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1954080 is about 1397.8841153687. The cubic root of 1954080 is about 125.0203700137.

The spelling of 1954080 in words is "one million, nine hundred fifty-four thousand, eighty".