26352480 has 384 divisors, whose sum is σ = 111476736. Its totient is φ = 5068800.

The previous prime is 26352479. The next prime is 26352481. The reversal of 26352480 is 8425362.

It is an interprime number because it is at equal distance from previous prime (26352479) and next prime (26352481).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26352481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 850065 + ... + 850095.

It is an arithmetic number, because the mean of its divisors is an integer number (290304).

Almost surely, 2^26352480 is an apocalyptic number.

26352480 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 26352480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55738368).

26352480 is an abundant number, since it is smaller than the sum of its proper divisors (85124256).

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

26352480 is a wasteful number, since it uses less digits than its factorization.

26352480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 26352480 is about 5133.4666649351. The cubic root of 26352480 is about 297.5823466231.

It can be divided in two parts, 2635 and 2480, that added together give a palindrome (5115).

The spelling of 26352480 in words is "twenty-six million, three hundred fifty-two thousand, four hundred eighty".