890453088 has 504 divisors, whose sum is σ = 3296968920. Its totient is φ = 235146240.

The previous prime is 890453087. The next prime is 890453089. The reversal of 890453088 is 880354098.

It is an interprime number because it is at equal distance from previous prime (890453087) and next prime (890453089).

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (890453087) by changing a digit.

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 83 ways as a sum of consecutive naturals, for example, 21718348 + ... + 21718388.

It is an arithmetic number, because the mean of its divisors is an integer number (6541605).

Almost surely, 2^890453088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 890453088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648484460).

890453088 is an abundant number, since it is smaller than the sum of its proper divisors (2406515832).

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

890453088 is a wasteful number, since it uses less digits than its factorization.

890453088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 890453088 is about 29840.4605862577. The cubic root of 890453088 is about 962.0633744122.

The spelling of 890453088 in words is "eight hundred ninety million, four hundred fifty-three thousand, eighty-eight".