26688480 has 288 divisors, whose sum is σ = 106251264. Its totient is φ = 5511168.

The previous prime is 26688469. The next prime is 26688503. The reversal of 26688480 is 8488662.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 567817 + ... + 567863.

It is an arithmetic number, because the mean of its divisors is an integer number (368928).

Almost surely, 2^26688480 is an apocalyptic number.

26688480 is a gapful number since it is divisible by the number (20) 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 26688480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53125632).

26688480 is an abundant number, since it is smaller than the sum of its proper divisors (79562784).

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

26688480 is a wasteful number, since it uses less digits than its factorization.

26688480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 26688480 is about 5166.0894301202. The cubic root of 26688480 is about 298.8417562149.

The spelling of 26688480 in words is "twenty-six million, six hundred eighty-eight thousand, four hundred eighty".