26951940 has 120 divisors (see below), whose sum is σ = 85865472. Its totient is φ = 7076160.

The previous prime is 26951891. The next prime is 26951941. The reversal of 26951940 is 4915962.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 26951895 and 26951904.

It is not an unprimeable number, because it can be changed into a prime (26951941) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 205675 + ... + 205805.

Almost surely, 2^26951940 is an apocalyptic number.

26951940 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 26951940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42932736).

26951940 is an abundant number, since it is smaller than the sum of its proper divisors (58913532).

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

26951940 is a wasteful number, since it uses less digits than its factorization.

26951940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 26951940 is about 5191.5257872807. The cubic root of 26951940 is about 299.8218942821.

The spelling of 26951940 in words is "twenty-six million, nine hundred fifty-one thousand, nine hundred forty".