26672616 has 48 divisors (see below), whose sum is σ = 73434660. Its totient is φ = 8743680.

The previous prime is 26672579. The next prime is 26672629. The reversal of 26672616 is 61627662.

It can be written as a sum of positive squares in 2 ways, for example, as 26563716 + 108900 = 5154^2 + 330^2 .

It is a super-2 number, since 2×26672616² = 1422856888566912, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1356 + ... + 7428.

Almost surely, 2^26672616 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 26672616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36717330).

26672616 is an abundant number, since it is smaller than the sum of its proper divisors (46762044).

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

26672616 is a wasteful number, since it uses less digits than its factorization.

26672616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6146 (or 6139 counting only the distinct ones).

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

The square root of 26672616 is about 5164.5538045411. The cubic root of 26672616 is about 298.7825325940.

The spelling of 26672616 in words is "twenty-six million, six hundred seventy-two thousand, six hundred sixteen".