26520000 has 280 divisors, whose sum is σ = 99980496. Its totient is φ = 6144000.

The previous prime is 26519993. The next prime is 26520001. The reversal of 26520000 is 2562.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26520001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1559992 + ... + 1560008.

Almost surely, 2^26520000 is an apocalyptic number.

26520000 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 26520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49990248).

26520000 is an abundant number, since it is smaller than the sum of its proper divisors (73460496).

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

26520000 is a wasteful number, since it uses less digits than its factorization.

26520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 26520000 is about 5149.7572758335. The cubic root of 26520000 is about 298.2115819441.

Adding to 26520000 its reverse (2562), we get a palindrome (26522562).

The spelling of 26520000 in words is "twenty-six million, five hundred twenty thousand".