26115642 has 64 divisors (see below), whose sum is σ = 67507200. Its totient is φ = 7328880.

The previous prime is 26115641. The next prime is 26115643. The reversal of 26115642 is 24651162.

26115642 is a `hidden beast` number, since 2 + 6 + 1 + 15 + 642 = 666.

It is an interprime number because it is at equal distance from previous prime (26115641) and next prime (26115643).

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 (26115641) 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, 21717 + ... + 22887.

It is an arithmetic number, because the mean of its divisors is an integer number (1054800).

Almost surely, 2^26115642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26115642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33753600).

26115642 is an abundant number, since it is smaller than the sum of its proper divisors (41391558).

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

26115642 is a wasteful number, since it uses less digits than its factorization.

26115642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1242 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 26115642 is about 5110.3465635904. The cubic root of 26115642 is about 296.6881738956.

The spelling of 26115642 in words is "twenty-six million, one hundred fifteen thousand, six hundred forty-two".