1975840 has 48 divisors (see below), whose sum is σ = 4776408. Its totient is φ = 772096.

The previous prime is 1975823. The next prime is 1975901. The reversal of 1975840 is 485791.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1507984 + 467856 = 1228^2 + 684^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1975796 and 1975805.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8364 + ... + 8596.

2^1975840 is an apocalyptic number.

1975840 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 1975840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2388204).

1975840 is an abundant number, since it is smaller than the sum of its proper divisors (2800568).

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

1975840 is a wasteful number, since it uses less digits than its factorization.

1975840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 1975840 is about 1405.6457590730. The cubic root of 1975840 is about 125.4827201173.

The spelling of 1975840 in words is "one million, nine hundred seventy-five thousand, eight hundred forty".