26172468 has 108 divisors (see below), whose sum is σ = 79236612. Its totient is φ = 7257600.

The previous prime is 26172457. The next prime is 26172491. The reversal of 26172468 is 86427162.

26172468 is a `hidden beast` number, since 26 + 172 + 468 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24980004 + 1192464 = 4998^2 + 1092^2 .

It is a super-2 number, since 2×26172468² = 1369996162422048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 65068 + ... + 65468.

Almost surely, 2^26172468 is an apocalyptic number.

26172468 is a gapful number since it is divisible by the number (28) 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 26172468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39618306).

26172468 is an abundant number, since it is smaller than the sum of its proper divisors (53064144).

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

26172468 is a wasteful number, since it uses less digits than its factorization.

26172468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 450 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 26172468 is about 5115.9034392764. The cubic root of 26172468 is about 296.9032096259.

The spelling of 26172468 in words is "twenty-six million, one hundred seventy-two thousand, four hundred sixty-eight".