26964144 has 40 divisors (see below), whose sum is σ = 77398320. Its totient is φ = 8987904.

The previous prime is 26964137. The next prime is 26964149. The reversal of 26964144 is 44146962.

26964144 is a `hidden beast` number, since 2 + 6 + 9 + 641 + 4 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 26964099 and 26964108.

It is not an unprimeable number, because it can be changed into a prime (26964149) 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, 30777 + ... + 31640.

It is an arithmetic number, because the mean of its divisors is an integer number (1934958).

Almost surely, 2^26964144 is an apocalyptic number.

26964144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

26964144 is an abundant number, since it is smaller than the sum of its proper divisors (50434176).

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

26964144 is a wasteful number, since it uses less digits than its factorization.

26964144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62434 (or 62422 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 26964144 is about 5192.7010312553. The cubic root of 26964144 is about 299.8671411705.

The spelling of 26964144 in words is "twenty-six million, nine hundred sixty-four thousand, one hundred forty-four".