26764320 has 192 divisors, whose sum is σ = 95147136. Its totient is φ = 6266880.

The previous prime is 26764319. The next prime is 26764321. The reversal of 26764320 is 2346762.

It is an interprime number because it is at equal distance from previous prime (26764319) and next prime (26764321).

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

It is not an unprimeable number, because it can be changed into a prime (26764321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195292 + ... + 195428.

It is an arithmetic number, because the mean of its divisors is an integer number (495558).

Almost surely, 2^26764320 is an apocalyptic number.

26764320 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 26764320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47573568).

26764320 is an abundant number, since it is smaller than the sum of its proper divisors (68382816).

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

26764320 is a wasteful number, since it uses less digits than its factorization.

26764320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 26764320 is about 5173.4243978239. The cubic root of 26764320 is about 299.1245589392.

It can be divided in two parts, 2676 and 4320, that added together give a palindrome (6996).

The spelling of 26764320 in words is "twenty-six million, seven hundred sixty-four thousand, three hundred twenty".