1074400 has 72 divisors (see below), whose sum is σ = 2812320. Its totient is φ = 399360.

The previous prime is 1074389. The next prime is 1074427. The reversal of 1074400 is 44701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13561 + ... + 13639.

It is an arithmetic number, because the mean of its divisors is an integer number (39060).

2^1074400 is an apocalyptic number.

1074400 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 1074400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406160).

1074400 is an abundant number, since it is smaller than the sum of its proper divisors (1737920).

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

1074400 is a wasteful number, since it uses less digits than its factorization.

1074400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 1074400 is about 1036.5326815880. The cubic root of 1074400 is about 102.4209185780.

The spelling of 1074400 in words is "one million, seventy-four thousand, four hundred".