1007380 has 48 divisors (see below), whose sum is σ = 2439360. Its totient is φ = 345600.

The previous prime is 1007359. The next prime is 1007381. The reversal of 1007380 is 837001.

1007380 = T₂₁₁ + T₂₁₂ + ... + T₂₄₈.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4060 + ... + 4300.

It is an arithmetic number, because the mean of its divisors is an integer number (50820).

2^1007380 is an apocalyptic number.

1007380 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 1007380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219680).

1007380 is an abundant number, since it is smaller than the sum of its proper divisors (1431980).

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

1007380 is a wasteful number, since it uses less digits than its factorization.

1007380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 1007380 is about 1003.6832169564. The cubic root of 1007380 is about 100.2453973090.

It can be divided in two parts, 10073 and 80, that added together give a triangular number (10153 = T₁₄₂).

The spelling of 1007380 in words is "one million, seven thousand, three hundred eighty".