26675040 has 192 divisors, whose sum is σ = 101896704. Its totient is φ = 5726208.

The previous prime is 26675027. The next prime is 26675053. The reversal of 26675040 is 4057662.

It is an interprime number because it is at equal distance from previous prime (26675027) and next prime (26675053).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 26674989 and 26675007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56887 + ... + 57353.

It is an arithmetic number, because the mean of its divisors is an integer number (530712).

Almost surely, 2^26675040 is an apocalyptic number.

26675040 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 26675040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50948352).

26675040 is an abundant number, since it is smaller than the sum of its proper divisors (75221664).

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

26675040 is a wasteful number, since it uses less digits than its factorization.

26675040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 26675040 is about 5164.7884758236. The cubic root of 26675040 is about 298.7915834112.

The spelling of 26675040 in words is "twenty-six million, six hundred seventy-five thousand, forty".