90891000 has 96 divisors (see below), whose sum is σ = 307242000. Its totient is φ = 24235200.

The previous prime is 90890957. The next prime is 90891023. The reversal of 90891000 is 19809.

It is a super-2 number, since 2×90891000² = 16522347762000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3951 + ... + 14049.

Almost surely, 2^90891000 is an apocalyptic number.

90891000 is a gapful number since it is divisible by the number (90) 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 90891000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153621000).

90891000 is an abundant number, since it is smaller than the sum of its proper divisors (216351000).

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

90891000 is a wasteful number, since it uses less digits than its factorization.

90891000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10126 (or 10109 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 90891000 is about 9533.6771499773. The cubic root of 90891000 is about 449.6144846378.

The spelling of 90891000 in words is "ninety million, eight hundred ninety-one thousand".