890580240 has 240 divisors, whose sum is σ = 3405317760. Its totient is φ = 206469120.

The previous prime is 890580211. The next prime is 890580259. The reversal of 890580240 is 42085098.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 890580195 and 890580204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 179716 + ... + 184604.

It is an arithmetic number, because the mean of its divisors is an integer number (14188824).

Almost surely, 2^890580240 is an apocalyptic number.

890580240 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 890580240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1702658880).

890580240 is an abundant number, since it is smaller than the sum of its proper divisors (2514737520).

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

890580240 is a wasteful number, since it uses less digits than its factorization.

890580240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4942 (or 4933 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 890580240 is about 29842.5910403236. The cubic root of 890580240 is about 962.1091647564.

The spelling of 890580240 in words is "eight hundred ninety million, five hundred eighty thousand, two hundred forty".