26004672 has 112 divisors (see below), whose sum is σ = 77724000. Its totient is φ = 8524800.

The previous prime is 26004661. The next prime is 26004683. The reversal of 26004672 is 27640062.

It is an interprime number because it is at equal distance from previous prime (26004661) and next prime (26004683).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174454 + ... + 174602.

Almost surely, 2^26004672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26004672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38862000).

26004672 is an abundant number, since it is smaller than the sum of its proper divisors (51719328).

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

26004672 is a wasteful number, since it uses less digits than its factorization.

26004672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 26004672 is about 5099.4776203058. The cubic root of 26004672 is about 296.2673503698.

The spelling of 26004672 in words is "twenty-six million, four thousand, six hundred seventy-two".