10266400 has 72 divisors (see below), whose sum is σ = 25756164. Its totient is φ = 3993600.

The previous prime is 10266397. The next prime is 10266409. The reversal of 10266400 is 466201.

It can be written as a sum of positive squares in 6 ways, for example, as 784 + 10265616 = 28^2 + 3204^2 .

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10266409) 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, 32644 + ... + 32956.

Almost surely, 2^10266400 is an apocalyptic number.

10266400 is a gapful number since it is divisible by the number (10) 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 10266400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12878082).

10266400 is an abundant number, since it is smaller than the sum of its proper divisors (15489764).

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

10266400 is a wasteful number, since it uses less digits than its factorization.

10266400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 10266400 is about 3204.1223447303. The cubic root of 10266400 is about 217.3398653947.

The spelling of 10266400 in words is "ten million, two hundred sixty-six thousand, four hundred".