1007280 has 60 divisors (see below), whose sum is σ = 3385200. Its totient is φ = 268416.

The previous prime is 1007249. The next prime is 1007297. The reversal of 1007280 is 827001.

1007280 = T₁₁₇ + T₁₁₈ + ... + T₁₉₆.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×1007280² = 2029225996800, which contains 22 as substring.

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

It is a congruent number.

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, 21 + ... + 1419.

It is an arithmetic number, because the mean of its divisors is an integer number (56420).

2^1007280 is an apocalyptic number.

1007280 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 1007280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692600).

1007280 is an abundant number, since it is smaller than the sum of its proper divisors (2377920).

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

1007280 is a wasteful number, since it uses less digits than its factorization.

1007280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 1007280 is about 1003.6333992051. The cubic root of 1007280 is about 100.2420801657.

The spelling of 1007280 in words is "one million, seven thousand, two hundred eighty".