10641400 has 96 divisors (see below), whose sum is σ = 30890880. Its totient is φ = 3312000.

The previous prime is 10641383. The next prime is 10641413. The reversal of 10641400 is 414601.

It is a happy number.

It is a super-2 number, since 2×10641400² = 226478787920000, which contains 22 as substring.

It is a congruent number.

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, 15055 + ... + 15745.

It is an arithmetic number, because the mean of its divisors is an integer number (321780).

Almost surely, 2^10641400 is an apocalyptic number.

10641400 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 10641400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15445440).

10641400 is an abundant number, since it is smaller than the sum of its proper divisors (20249480).

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

10641400 is a wasteful number, since it uses less digits than its factorization.

10641400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 10641400 is about 3262.1158777701. The cubic root of 10641400 is about 219.9545360599.

The spelling of 10641400 in words is "ten million, six hundred forty-one thousand, four hundred".