1945800 has 144 divisors (see below), whose sum is σ = 6963840. Its totient is φ = 485760.

The previous prime is 1945799. The next prime is 1945817. The reversal of 1945800 is 85491.

1945800 = T₂₄₁ + T₂₄₂ + ... + T₂₉₄.

It is a super-2 number, since 2×1945800² = 7572275280000, which contains 22 as substring.

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41377 + ... + 41423.

It is an arithmetic number, because the mean of its divisors is an integer number (48360).

2^1945800 is an apocalyptic number.

1945800 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 1945800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3481920).

1945800 is an abundant number, since it is smaller than the sum of its proper divisors (5018040).

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

1945800 is a wasteful number, since it uses less digits than its factorization.

1945800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 80 counting only the distinct ones).

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

The square root of 1945800 is about 1394.9193525075. The cubic root of 1945800 is about 124.8435375711.

The spelling of 1945800 in words is "one million, nine hundred forty-five thousand, eight hundred".