26997120 has 192 divisors, whose sum is σ = 96267600. Its totient is φ = 6967296.

The previous prime is 26997107. The next prime is 26997121. The reversal of 26997120 is 2179962.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26997121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 247626 + ... + 247734.

Almost surely, 2^26997120 is an apocalyptic number.

26997120 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 26997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48133800).

26997120 is an abundant number, since it is smaller than the sum of its proper divisors (69270480).

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

26997120 is a wasteful number, since it uses less digits than its factorization.

26997120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 26997120 is about 5195.8752871869. The cubic root of 26997120 is about 299.9893329541.

The spelling of 26997120 in words is "twenty-six million, nine hundred ninety-seven thousand, one hundred twenty".