10262400 has 96 divisors (see below), whose sum is σ = 33833400. Its totient is φ = 2734080.

The previous prime is 10262387. The next prime is 10262437. The reversal of 10262400 is 426201.

10262400 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10262400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9066 + ... + 10134.

Almost surely, 2^10262400 is an apocalyptic number.

10262400 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 10262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16916700).

10262400 is an abundant number, since it is smaller than the sum of its proper divisors (23571000).

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

10262400 is a wasteful number, since it uses less digits than its factorization.

10262400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 10262400 is about 3203.4980880281. The cubic root of 10262400 is about 217.3116350383.

Adding to 10262400 its reverse (426201), we get a palindrome (10688601).

The spelling of 10262400 in words is "ten million, two hundred sixty-two thousand, four hundred".