26970480 has 120 divisors (see below), whose sum is σ = 92619072. Its totient is φ = 7030272.

The previous prime is 26970457. The next prime is 26970487. The reversal of 26970480 is 8407962.

It is a tau number, because it is divible by the number of its divisors (120).

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 (26970487) 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, 33442 + ... + 34238.

Almost surely, 2^26970480 is an apocalyptic number.

26970480 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 26970480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46309536).

26970480 is an abundant number, since it is smaller than the sum of its proper divisors (65648592).

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

26970480 is a wasteful number, since it uses less digits than its factorization.

26970480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 26970480 is about 5193.3110825368. The cubic root of 26970480 is about 299.8906267965.

The spelling of 26970480 in words is "twenty-six million, nine hundred seventy thousand, four hundred eighty".