26967240 has 96 divisors (see below), whose sum is σ = 88353720. Its totient is φ = 7133184.

The previous prime is 26967211. The next prime is 26967257. The reversal of 26967240 is 4276962.

26967240 = 1² + 2² + ... + 432².

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 21958596 + 5008644 = 4686^2 + 2238^2 .

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 = 26967195 and 26967204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62064 + ... + 62496.

Almost surely, 2^26967240 is an apocalyptic number.

26967240 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 26967240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44176860).

26967240 is an abundant number, since it is smaller than the sum of its proper divisors (61386480).

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

26967240 is a wasteful number, since it uses less digits than its factorization.

26967240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 26967240 is about 5192.9991334488. Note that the first 3 decimals coincide. The cubic root of 26967240 is about 299.8786175610.

The spelling of 26967240 in words is "twenty-six million, nine hundred sixty-seven thousand, two hundred forty".