890243040 has 48 divisors (see below), whose sum is σ = 2804267088. Its totient is φ = 237398016.

The previous prime is 890243033. The next prime is 890243071. The reversal of 890243040 is 40342098.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 890242989 and 890243007.

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 7 ways as a sum of consecutive naturals, for example, 926857 + ... + 927816.

It is an arithmetic number, because the mean of its divisors is an integer number (58422231).

Almost surely, 2^890243040 is an apocalyptic number.

890243040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

890243040 is an abundant number, since it is smaller than the sum of its proper divisors (1914024048).

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

890243040 is a wasteful number, since it uses less digits than its factorization.

890243040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854691 (or 1854683 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 890243040 is about 29836.9408619584. The cubic root of 890243040 is about 961.9877217728.

The spelling of 890243040 in words is "eight hundred ninety million, two hundred forty-three thousand, forty".