26404560 has 360 divisors, whose sum is σ = 113278464. Its totient is φ = 5391360.

The previous prime is 26404559. The next prime is 26404561. The reversal of 26404560 is 6540462.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (26404559) and next prime (26404561).

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26404561) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 851745 + ... + 851775.

Almost surely, 2^26404560 is an apocalyptic number.

26404560 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 26404560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56639232).

26404560 is an abundant number, since it is smaller than the sum of its proper divisors (86873904).

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

26404560 is a wasteful number, since it uses less digits than its factorization.

26404560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 26404560 is about 5138.5367567042. The cubic root of 26404560 is about 297.7782534253.

The spelling of 26404560 in words is "twenty-six million, four hundred four thousand, five hundred sixty".