26465940 has 180 divisors, whose sum is σ = 90835668. Its totient is φ = 6428160.

The previous prime is 26465927. The next prime is 26465969. The reversal of 26465940 is 4956462.

26465940 is a `hidden beast` number, since 2 + 64 + 6 + 594 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15256836 + 11209104 = 3906^2 + 3348^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 26465895 and 26465904.

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 853725 + ... + 853755.

Almost surely, 2^26465940 is an apocalyptic number.

26465940 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 26465940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45417834).

26465940 is an abundant number, since it is smaller than the sum of its proper divisors (64369728).

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

26465940 is a wasteful number, since it uses less digits than its factorization.

26465940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 26465940 is about 5144.5058071694. The cubic root of 26465940 is about 298.0088131562.

The spelling of 26465940 in words is "twenty-six million, four hundred sixty-five thousand, nine hundred forty".