1047200 has 144 divisors (see below), whose sum is σ = 3374784. Its totient is φ = 307200.

The previous prime is 1047199. The next prime is 1047229. The reversal of 1047200 is 27401.

1047200 = T₂₃₁ + T₂₃₂ + ... + T₂₆₄.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4.

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, 61592 + ... + 61608.

It is an arithmetic number, because the mean of its divisors is an integer number (23436).

2^1047200 is an apocalyptic number.

1047200 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 1047200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687392).

1047200 is an abundant number, since it is smaller than the sum of its proper divisors (2327584).

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

1047200 is a wasteful number, since it uses less digits than its factorization.

1047200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 1047200 is about 1023.3279044373. The cubic root of 1047200 is about 101.5492089116.

The spelling of 1047200 in words is "one million, forty-seven thousand, two hundred".