16426080 has 288 divisors, whose sum is σ = 65808288. Its totient is φ = 3686400.

The previous prime is 16426073. The next prime is 16426103. The reversal of 16426080 is 8062461.

16426080 = T₂₀₅ + T₂₀₆ + ... + T₄₇₄.

16426080 is a `hidden beast` number, since 16 + 42 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×16426080² = 539632208332800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269250 + ... + 269310.

It is an arithmetic number, because the mean of its divisors is an integer number (228501).

Almost surely, 2^16426080 is an apocalyptic number.

16426080 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 16426080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32904144).

16426080 is an abundant number, since it is smaller than the sum of its proper divisors (49382208).

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

16426080 is a wasteful number, since it uses less digits than its factorization.

16426080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 16426080 is about 4052.9100656195. The cubic root of 16426080 is about 254.2014232979.

It can be divided in two parts, 164 and 26080, that added together give a square (26244 = 162²).

The spelling of 16426080 in words is "sixteen million, four hundred twenty-six thousand, eighty".