26815320 has 128 divisors (see below), whose sum is σ = 102182400. Its totient is φ = 6127488.

The previous prime is 26815319. The next prime is 26815337. The reversal of 26815320 is 2351862.

It is a super-2 number, since 2×26815320² = 1438122773404800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5787 + ... + 9333.

It is an arithmetic number, because the mean of its divisors is an integer number (798300).

Almost surely, 2^26815320 is an apocalyptic number.

26815320 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 26815320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51091200).

26815320 is an abundant number, since it is smaller than the sum of its proper divisors (75367080).

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

26815320 is a wasteful number, since it uses less digits than its factorization.

26815320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3574 (or 3564 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 26815320 is about 5178.3510889085. The cubic root of 26815320 is about 299.3144345267.

It can be divided in two parts, 2681 and 5320, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 26815320 in words is "twenty-six million, eight hundred fifteen thousand, three hundred twenty".