1007636 has 36 divisors (see below), whose sum is σ = 2111508. Its totient is φ = 419328.

The previous prime is 1007609. The next prime is 1007647. The reversal of 1007636 is 6367001.

1007636 = 50² + 51² + ... + 146².

It can be written as a sum of positive squares in 2 ways, for example, as 592900 + 414736 = 770^2 + 644^2 .

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, 10340 + ... + 10436.

It is an arithmetic number, because the mean of its divisors is an integer number (58653).

2^1007636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1007636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055754).

1007636 is an abundant number, since it is smaller than the sum of its proper divisors (1103872).

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

1007636 is a wasteful number, since it uses less digits than its factorization.

1007636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 1007636 is about 1003.8107391336. The cubic root of 1007636 is about 100.2538881957.

The spelling of 1007636 in words is "one million, seven thousand, six hundred thirty-six".