10724400 has 150 divisors (see below), whose sum is σ = 38605292. Its totient is φ = 2851200.

The previous prime is 10724393. The next prime is 10724423. The reversal of 10724400 is 442701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 32235 + ... + 32565.

Almost surely, 2^10724400 is an apocalyptic number.

10724400 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 10724400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19302646).

10724400 is an abundant number, since it is smaller than the sum of its proper divisors (27880892).

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

10724400 is a wasteful number, since it uses less digits than its factorization.

10724400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 10724400 is about 3274.8129717588. The cubic root of 10724400 is about 220.5249173563.

The spelling of 10724400 in words is "ten million, seven hundred twenty-four thousand, four hundred".