26286120 has 320 divisors, whose sum is σ = 108028800. Its totient is φ = 5598720.

The previous prime is 26286119. The next prime is 26286121. The reversal of 26286120 is 2168262.

26286120 is a `hidden beast` number, since 26 + 28 + 612 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (26286119) and next prime (26286121).

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

It is not an unprimeable number, because it can be changed into a prime (26286121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 430890 + ... + 430950.

It is an arithmetic number, because the mean of its divisors is an integer number (337590).

Almost surely, 2^26286120 is an apocalyptic number.

26286120 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 26286120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54014400).

26286120 is an abundant number, since it is smaller than the sum of its proper divisors (81742680).

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

26286120 is a wasteful number, since it uses less digits than its factorization.

26286120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 26286120 is about 5126.9991222937. Note that the first 3 decimals coincide. The cubic root of 26286120 is about 297.3323491067.

It can be divided in two parts, 26 and 286120, that added together give a triangular number (286146 = T₇₅₆).

The spelling of 26286120 in words is "twenty-six million, two hundred eighty-six thousand, one hundred twenty".