26667648 has 96 divisors (see below), whose sum is σ = 87728160. Its totient is φ = 7617024.

The previous prime is 26667643. The next prime is 26667653. The reversal of 26667648 is 84676662.

It is an interprime number because it is at equal distance from previous prime (26667643) and next prime (26667653).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×26667648² = 1422326899703808, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (26667643) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 6411 + ... + 9717.

It is an arithmetic number, because the mean of its divisors is an integer number (913835).

Almost surely, 2^26667648 is an apocalyptic number.

26667648 is a gapful number since it is divisible by the number (28) 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 26667648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43864080).

26667648 is an abundant number, since it is smaller than the sum of its proper divisors (61060512).

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

26667648 is a wasteful number, since it uses less digits than its factorization.

26667648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3334 (or 3319 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 26667648 is about 5164.0728112605. The cubic root of 26667648 is about 298.7639811854.

The spelling of 26667648 in words is "twenty-six million, six hundred sixty-seven thousand, six hundred forty-eight".