26963064 has 64 divisors (see below), whose sum is σ = 76665600. Its totient is φ = 8775648.

The previous prime is 26963063. The next prime is 26963077. The reversal of 26963064 is 46036962.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (26963063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7837 + ... + 10739.

It is an arithmetic number, because the mean of its divisors is an integer number (1197900).

Almost surely, 2^26963064 is an apocalyptic number.

26963064 is a gapful number since it is divisible by the number (24) 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 26963064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38332800).

26963064 is an abundant number, since it is smaller than the sum of its proper divisors (49702536).

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

26963064 is a wasteful number, since it uses less digits than its factorization.

26963064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2961 (or 2951 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 26963064 is about 5192.5970380918. The cubic root of 26963064 is about 299.8631375717.

The spelling of 26963064 in words is "twenty-six million, nine hundred sixty-three thousand, sixty-four".