26400420 has 36 divisors (see below), whose sum is σ = 80081820. Its totient is φ = 7040064.

The previous prime is 26400401. The next prime is 26400421. The reversal of 26400420 is 2400462.

26400420 is a `hidden beast` number, since 2 + 640 + 0 + 4 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12916836 + 13483584 = 3594^2 + 3672^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 26400393 and 26400402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26400421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73155 + ... + 73514.

It is an arithmetic number, because the mean of its divisors is an integer number (2224495).

Almost surely, 2^26400420 is an apocalyptic number.

26400420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26400420 is an abundant number, since it is smaller than the sum of its proper divisors (53681400).

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

26400420 is a wasteful number, since it uses less digits than its factorization.

26400420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146684 (or 146679 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 26400420 is about 5138.1339024981. The cubic root of 26400420 is about 297.7626896186.

Adding to 26400420 its reverse (2400462), we get a palindrome (28800882).

The spelling of 26400420 in words is "twenty-six million, four hundred thousand, four hundred twenty".