26994960 has 60 divisors (see below), whose sum is σ = 90660492. Its totient is φ = 7198464.

The previous prime is 26994949. The next prime is 26994971. The reversal of 26994960 is 6949962.

It is an interprime number because it is at equal distance from previous prime (26994949) and next prime (26994971).

It can be written as a sum of positive squares in 2 ways, for example, as 8020224 + 18974736 = 2832^2 + 4356^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Smith number, since the sum of its digits (45) 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 (45).

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, 18027 + ... + 19466.

Almost surely, 2^26994960 is an apocalyptic number.

26994960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26994960 is an abundant number, since it is smaller than the sum of its proper divisors (63665532).

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

26994960 is a wasteful number, since it uses less digits than its factorization.

26994960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37512 (or 37503 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 26994960 is about 5195.6674258463. The cubic root of 26994960 is about 299.9813321717.

The spelling of 26994960 in words is "twenty-six million, nine hundred ninety-four thousand, nine hundred sixty".