26377040 has 40 divisors (see below), whose sum is σ = 62493768. Its totient is φ = 10350080.

The previous prime is 26377033. The next prime is 26377049. The reversal of 26377040 is 4077362.

It can be written as a sum of positive squares in 4 ways, for example, as 529984 + 25847056 = 728^2 + 5084^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 26376994 and 26377012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26377049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1130 + ... + 7350.

Almost surely, 2^26377040 is an apocalyptic number.

26377040 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 26377040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31246884).

26377040 is an abundant number, since it is smaller than the sum of its proper divisors (36116728).

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

26377040 is a wasteful number, since it uses less digits than its factorization.

26377040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6287 (or 6281 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 29.

The square root of 26377040 is about 5135.8582534957. The cubic root of 26377040 is about 297.6747649092.

The spelling of 26377040 in words is "twenty-six million, three hundred seventy-seven thousand, forty".