16672590 has 72 divisors (see below), whose sum is σ = 47678904. Its totient is φ = 4039200.

The previous prime is 16672577. The next prime is 16672603. The reversal of 16672590 is 9527661.

16672590 is a `hidden beast` number, since 1 + 6 + 67 + 2 + 590 = 666.

It is an interprime number because it is at equal distance from previous prime (16672577) and next prime (16672603).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10125 + ... + 11655.

It is an arithmetic number, because the mean of its divisors is an integer number (662207).

Almost surely, 2^16672590 is an apocalyptic number.

16672590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16672590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23839452).

16672590 is an abundant number, since it is smaller than the sum of its proper divisors (31006314).

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

16672590 is a wasteful number, since it uses less digits than its factorization.

16672590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 16672590 is about 4083.2082974054. The cubic root of 16672590 is about 255.4667345884.

Subtracting from 16672590 its reverse (9527661), we obtain a square (7144929 = 2673²).

The spelling of 16672590 in words is "sixteen million, six hundred seventy-two thousand, five hundred ninety".