1951120 has 40 divisors (see below), whose sum is σ = 4698360. Its totient is φ = 753536.

The previous prime is 1951099. The next prime is 1951123. The reversal of 1951120 is 211591.

It can be written as a sum of positive squares in 4 ways, for example, as 2304 + 1948816 = 48^2 + 1396^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1951123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67266 + ... + 67294.

It is an arithmetic number, because the mean of its divisors is an integer number (117459).

2^1951120 is an apocalyptic number.

1951120 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 1951120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2349180).

1951120 is an abundant number, since it is smaller than the sum of its proper divisors (2747240).

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

1951120 is an frugal number, since it uses more digits than its factorization.

1951120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 19.

The square root of 1951120 is about 1396.8249711399. The cubic root of 1951120 is about 124.9572120218.

The spelling of 1951120 in words is "one million, nine hundred fifty-one thousand, one hundred twenty".