1007440 has 60 divisors (see below), whose sum is σ = 2735316. Its totient is φ = 344064.

The previous prime is 1007429. The next prime is 1007441. The reversal of 1007440 is 447001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 753424 + 254016 = 868^2 + 504^2 .

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

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3792 + ... + 4048.

2^1007440 is an apocalyptic number.

1007440 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 1007440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367658).

1007440 is an abundant number, since it is smaller than the sum of its proper divisors (1727876).

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

1007440 is a wasteful number, since it uses less digits than its factorization.

1007440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 271 counting only the distinct ones).

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

The square root of 1007440 is about 1003.7131064204. The cubic root of 1007440 is about 100.2473874896.

The spelling of 1007440 in words is "one million, seven thousand, four hundred forty".