26464200 has 96 divisors (see below), whose sum is σ = 93773760. Its totient is φ = 6048000.

The previous prime is 26464199. The next prime is 26464259. The reversal of 26464200 is 246462.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1050 + ... + 7350.

It is an arithmetic number, because the mean of its divisors is an integer number (976810).

Almost surely, 2^26464200 is an apocalyptic number.

26464200 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 26464200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46886880).

26464200 is an abundant number, since it is smaller than the sum of its proper divisors (67309560).

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

26464200 is a wasteful number, since it uses less digits than its factorization.

26464200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6327 (or 6318 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 26464200 is about 5144.3366919361. The cubic root of 26464200 is about 298.0022821620.

The spelling of 26464200 in words is "twenty-six million, four hundred sixty-four thousand, two hundred".