10473600 has 96 divisors (see below), whose sum is σ = 34529040. Its totient is φ = 2790400.

The previous prime is 10473559. The next prime is 10473613. The reversal of 10473600 is 637401.

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

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

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, 9055 + ... + 10145.

Almost surely, 2^10473600 is an apocalyptic number.

10473600 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 10473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17264520).

10473600 is an abundant number, since it is smaller than the sum of its proper divisors (24055440).

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

10473600 is a wasteful number, since it uses less digits than its factorization.

10473600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 10473600 is about 3236.2941769870. The cubic root of 10473600 is about 218.7922802629.

The spelling of 10473600 in words is "ten million, four hundred seventy-three thousand, six hundred".