1950880 has 48 divisors (see below), whose sum is σ = 4694760. Its totient is φ = 765952.

The previous prime is 1950853. The next prime is 1950881. The reversal of 1950880 is 880591.

It can be written as a sum of positive squares in 4 ways, for example, as 1354896 + 595984 = 1164^2 + 772^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1950881) 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, 14172 + ... + 14308.

2^1950880 is an apocalyptic number.

1950880 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 1950880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2347380).

1950880 is an abundant number, since it is smaller than the sum of its proper divisors (2743880).

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

1950880 is a wasteful number, since it uses less digits than its factorization.

1950880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 31.

The square root of 1950880 is about 1396.7390593808. The cubic root of 1950880 is about 124.9520883048.

The spelling of 1950880 in words is "one million, nine hundred fifty thousand, eight hundred eighty".