26963040 has 192 divisors, whose sum is σ = 95256000. Its totient is φ = 6365184.

The previous prime is 26963039. The next prime is 26963063. The reversal of 26963040 is 4036962.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 26962989 and 26963007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180886 + ... + 181034.

It is an arithmetic number, because the mean of its divisors is an integer number (496125).

Almost surely, 2^26963040 is an apocalyptic number.

26963040 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 26963040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47628000).

26963040 is an abundant number, since it is smaller than the sum of its proper divisors (68292960).

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

26963040 is a wasteful number, since it uses less digits than its factorization.

26963040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 26963040 is about 5192.5947271090. The cubic root of 26963040 is about 299.8630486017.

The spelling of 26963040 in words is "twenty-six million, nine hundred sixty-three thousand, forty".