26642520 has 96 divisors (see below), whose sum is σ = 89827920. Its totient is φ = 7102080.

The previous prime is 26642509. The next prime is 26642557. The reversal of 26642520 is 2524662.

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

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8350 + ... + 11090.

Almost surely, 2^26642520 is an apocalyptic number.

26642520 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 26642520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44913960).

26642520 is an abundant number, since it is smaller than the sum of its proper divisors (63185400).

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

26642520 is a wasteful number, since it uses less digits than its factorization.

26642520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2767 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 26642520 is about 5161.6392744941. The cubic root of 26642520 is about 298.6701133832.

It can be divided in two parts, 2664 and 2520, that added together give a square (5184 = 72²).

The spelling of 26642520 in words is "twenty-six million, six hundred forty-two thousand, five hundred twenty".