26234784 has 72 divisors (see below), whose sum is σ = 75714912. Its totient is φ = 8615040.

The previous prime is 26234783. The next prime is 26234807. The reversal of 26234784 is 48743262.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (26234783) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19807 + ... + 21089.

It is an arithmetic number, because the mean of its divisors is an integer number (1051596).

Almost surely, 2^26234784 is an apocalyptic number.

26234784 is a gapful number since it is divisible by the number (24) 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 26234784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37857456).

26234784 is an abundant number, since it is smaller than the sum of its proper divisors (49480128).

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

26234784 is a wasteful number, since it uses less digits than its factorization.

26234784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 1359 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 26234784 is about 5121.9902381789. The cubic root of 26234784 is about 297.1386625922.

The spelling of 26234784 in words is "twenty-six million, two hundred thirty-four thousand, seven hundred eighty-four".