1953120 has 96 divisors (see below), whose sum is σ = 6646752. Its totient is φ = 479232.

The previous prime is 1953109. The next prime is 1953151. The reversal of 1953120 is 213591.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6084 + ... + 6396.

It is an arithmetic number, because the mean of its divisors is an integer number (69237).

2^1953120 is an apocalyptic number.

1953120 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 1953120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3323376).

1953120 is an abundant number, since it is smaller than the sum of its proper divisors (4693632).

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

1953120 is a wasteful number, since it uses less digits than its factorization.

1953120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 1953120 is about 1397.5406970818. The cubic root of 1953120 is about 124.9998933332. Note that the first 3 decimals are identical.

It can be divided in two parts, 195 and 3120, that multiplied together give a square (608400 = 780²).

The spelling of 1953120 in words is "one million, nine hundred fifty-three thousand, one hundred twenty".