26646642 has 48 divisors (see below), whose sum is σ = 64078560. Its totient is φ = 7934400.

The previous prime is 26646611. The next prime is 26646661. The reversal of 26646642 is 24664662.

26646642 is a `hidden beast` number, since 2 + 6 + 6 + 4 + 6 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 26646597 and 26646606.

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, 10542 + ... + 12822.

It is an arithmetic number, because the mean of its divisors is an integer number (1334970).

Almost surely, 2^26646642 is an apocalyptic number.

26646642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 26646642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32039280).

26646642 is an abundant number, since it is smaller than the sum of its proper divisors (37431918).

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

26646642 is a wasteful number, since it uses less digits than its factorization.

26646642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2359 (or 2356 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 26646642 is about 5162.0385508053. The cubic root of 26646642 is about 298.6855155139.

The spelling of 26646642 in words is "twenty-six million, six hundred forty-six thousand, six hundred forty-two".