10746400 has 144 divisors (see below), whose sum is σ = 31872960. Its totient is φ = 3456000.

The previous prime is 10746389. The next prime is 10746401. The reversal of 10746400 is 464701.

It is a super-2 number, since 2×10746400² = 230970225920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10746401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106350 + ... + 106450.

It is an arithmetic number, because the mean of its divisors is an integer number (221340).

Almost surely, 2^10746400 is an apocalyptic number.

10746400 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 10746400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15936480).

10746400 is an abundant number, since it is smaller than the sum of its proper divisors (21126560).

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

10746400 is a wasteful number, since it uses less digits than its factorization.

10746400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 10746400 is about 3278.1702213277. The cubic root of 10746400 is about 220.6756090647.

The spelling of 10746400 in words is "ten million, seven hundred forty-six thousand, four hundred".