26616960 has 96 divisors (see below), whose sum is σ = 91931580. Its totient is φ = 7096320.

The previous prime is 26616959. The next prime is 26616991. The reversal of 26616960 is 6961662.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 26132544 + 484416 = 5112^2 + 696^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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, 3450 + ... + 8070.

Almost surely, 2^26616960 is an apocalyptic number.

26616960 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 26616960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45965790).

26616960 is an abundant number, since it is smaller than the sum of its proper divisors (65314620).

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

26616960 is a wasteful number, since it uses less digits than its factorization.

26616960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4646 (or 4631 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 26616960 is about 5159.1627227681. The cubic root of 26616960 is about 298.5745712363.

The spelling of 26616960 in words is "twenty-six million, six hundred sixteen thousand, nine hundred sixty".