26603640 has 384 divisors, whose sum is σ = 113218560. Its totient is φ = 5474304.

The previous prime is 26603639. The next prime is 26603641. The reversal of 26603640 is 4630662.

It is an interprime number because it is at equal distance from previous prime (26603639) and next prime (26603641).

It is a super-2 number, since 2×26603640² = 1415507322499200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26603641) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1156669 + ... + 1156691.

It is an arithmetic number, because the mean of its divisors is an integer number (294840).

Almost surely, 2^26603640 is an apocalyptic number.

26603640 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 26603640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56609280).

26603640 is an abundant number, since it is smaller than the sum of its proper divisors (86614920).

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

26603640 is a wasteful number, since it uses less digits than its factorization.

26603640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 26603640 is about 5157.8716540837. The cubic root of 26603640 is about 298.5247574223.

The spelling of 26603640 in words is "twenty-six million, six hundred three thousand, six hundred forty".