16488900 has 144 divisors (see below), whose sum is σ = 54996480. Its totient is φ = 4233600.

The previous prime is 16488889. The next prime is 16488911. The reversal of 16488900 is 988461.

It is a happy number.

16488900 is a `hidden beast` number, since 1 + 648 + 8 + 9 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (16488889) and next prime (16488911).

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

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, 83602 + ... + 83798.

It is an arithmetic number, because the mean of its divisors is an integer number (381920).

Almost surely, 2^16488900 is an apocalyptic number.

16488900 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 16488900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27498240).

16488900 is an abundant number, since it is smaller than the sum of its proper divisors (38507580).

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

16488900 is a wasteful number, since it uses less digits than its factorization.

16488900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 16488900 is about 4060.6526569014. The cubic root of 16488900 is about 254.5250675540.

The spelling of 16488900 in words is "sixteen million, four hundred eighty-eight thousand, nine hundred".