890925840 has 180 divisors, whose sum is σ = 3480657804. Its totient is φ = 203632128.

The previous prime is 890925829. The next prime is 890925857. The reversal of 890925840 is 48529098.

It can be written as a sum of positive squares in 2 ways, for example, as 630813456 + 260112384 = 25116^2 + 16128^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22654 + ... + 47906.

Almost surely, 2^890925840 is an apocalyptic number.

890925840 is a gapful number since it is divisible by the number (80) 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 890925840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740328902).

890925840 is an abundant number, since it is smaller than the sum of its proper divisors (2589731964).

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

890925840 is a wasteful number, since it uses less digits than its factorization.

890925840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25286 (or 25270 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 890925840 is about 29848.3808606095. The cubic root of 890925840 is about 962.2336012046.

The spelling of 890925840 in words is "eight hundred ninety million, nine hundred twenty-five thousand, eight hundred forty".