10546400 has 36 divisors (see below), whose sum is σ = 25748352. Its totient is φ = 4218240.

The previous prime is 10546399. The next prime is 10546429. The reversal of 10546400 is 464501.

It is a happy number.

It is a super-2 number, since 2×10546400² = 222453105920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5792 + ... + 7391.

It is an arithmetic number, because the mean of its divisors is an integer number (715232).

Almost surely, 2^10546400 is an apocalyptic number.

10546400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10546400 is an abundant number, since it is smaller than the sum of its proper divisors (15201952).

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

10546400 is a wasteful number, since it uses less digits than its factorization.

10546400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13203 (or 13190 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 10546400 is about 3247.5221323341. The cubic root of 10546400 is about 219.2980380892.

The spelling of 10546400 in words is "ten million, five hundred forty-six thousand, four hundred".