1007136 has 72 divisors (see below), whose sum is σ = 3095820. Its totient is φ = 308736.

The previous prime is 1007129. The next prime is 1007137. The reversal of 1007136 is 6317001.

1007136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 810000 + 197136 = 900^2 + 444^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (1007137) 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, 3610 + ... + 3878.

2^1007136 is an apocalyptic number.

1007136 is a gapful number since it is divisible by the number (16) 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 1007136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547910).

1007136 is an abundant number, since it is smaller than the sum of its proper divisors (2088684).

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

1007136 is a wasteful number, since it uses less digits than its factorization.

1007136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 1007136 is about 1003.5616572986. The cubic root of 1007136 is about 100.2373030936.

The spelling of 1007136 in words is "one million, seven thousand, one hundred thirty-six".