10890000 has 225 divisors, whose sum is σ = 41860819. Its totient is φ = 2640000.

The previous prime is 10889987. The next prime is 10890023. The reversal of 10890000 is 9801.

The square root of 10890000 is 3300.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 853776 + 10036224 = 924^2 + 3168^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 989995 + ... + 990005.

Almost surely, 2^10890000 is an apocalyptic number.

10890000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10890000 is the 3300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10890000

10890000 is an abundant number, since it is smaller than the sum of its proper divisors (30970819).

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

10890000 is a wasteful number, since it uses less digits than its factorization.

10890000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The cubic root of 10890000 is about 221.6541974506.

Adding to 10890000 its reverse (9801), we get a palindrome (10899801).

Multiplying 10890000 by its reverse (9801), we get a square (106732890000 = 326700²).

The spelling of 10890000 in words is "ten million, eight hundred ninety thousand".