26378688 has 112 divisors (see below), whose sum is σ = 84043520. Its totient is φ = 7133184.

The previous prime is 26378687. The next prime is 26378689. The reversal of 26378688 is 88687362.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (26378687) and next prime (26378689).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26378687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25020 + ... + 26052.

Almost surely, 2^26378688 is an apocalyptic number.

26378688 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 26378688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42021760).

26378688 is an abundant number, since it is smaller than the sum of its proper divisors (57664832).

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

26378688 is a wasteful number, since it uses less digits than its factorization.

26378688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1064 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The square root of 26378688 is about 5136.0186915548. The cubic root of 26378688 is about 297.6809642123.

It can be divided in two parts, 2637 and 8688, that added together give a triangular number (11325 = T₁₅₀).

The spelling of 26378688 in words is "twenty-six million, three hundred seventy-eight thousand, six hundred eighty-eight".