26433680 has 80 divisors (see below), whose sum is σ = 75661824. Its totient is φ = 8363520.

The previous prime is 26433677. The next prime is 26433689. The reversal of 26433680 is 8633462.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (26433689) 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, 5465 + ... + 9095.

Almost surely, 2^26433680 is an apocalyptic number.

26433680 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 26433680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37830912).

26433680 is an abundant number, since it is smaller than the sum of its proper divisors (49228144).

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

26433680 is a wasteful number, since it uses less digits than its factorization.

26433680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3664 (or 3658 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 26433680 is about 5141.3694673696. The cubic root of 26433680 is about 297.8876804461.

The spelling of 26433680 in words is "twenty-six million, four hundred thirty-three thousand, six hundred eighty".