16890120 has 160 divisors (see below), whose sum is σ = 61288920. Its totient is φ = 4147200.

The previous prime is 16890109. The next prime is 16890131. The reversal of 16890120 is 2109861.

It is an interprime number because it is at equal distance from previous prime (16890109) and next prime (16890131).

It can be written as a sum of positive squares in 4 ways, for example, as 15256836 + 1633284 = 3906^2 + 1278^2 .

It is a super-2 number, since 2×16890120² = 570552307228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41920 + ... + 42320.

Almost surely, 2^16890120 is an apocalyptic number.

16890120 is a gapful number since it is divisible by the number (10) 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 16890120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30644460).

16890120 is an abundant number, since it is smaller than the sum of its proper divisors (44398800).

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

16890120 is a wasteful number, since it uses less digits than its factorization.

16890120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 16890120 is about 4109.7591170286. The cubic root of 16890120 is about 256.5729760554.

Adding to 16890120 its reverse (2109861), we get a palindrome (18999981).

It can be divided in two parts, 168901 and 20, that added together give a square (168921 = 411²).

The spelling of 16890120 in words is "sixteen million, eight hundred ninety thousand, one hundred twenty".