26970400 has 36 divisors (see below), whose sum is σ = 65843442. Its totient is φ = 10787840.

The previous prime is 26970397. The next prime is 26970401. The reversal of 26970400 is 407962.

It can be written as a sum of positive squares in 3 ways, for example, as 14776336 + 12194064 = 3844^2 + 3492^2 .

It is not an unprimeable number, because it can be changed into a prime (26970401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16057 + ... + 17656.

Almost surely, 2^26970400 is an apocalyptic number.

26970400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26970400 is an abundant number, since it is smaller than the sum of its proper divisors (38873042).

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

26970400 is a wasteful number, since it uses less digits than its factorization.

26970400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33733 (or 33720 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 26970400 is about 5193.3033803158. The cubic root of 26970400 is about 299.8903302838.

The spelling of 26970400 in words is "twenty-six million, nine hundred seventy thousand, four hundred".