1007952 has 80 divisors (see below), whose sum is σ = 2999808. Its totient is φ = 288640.

The previous prime is 1007939. The next prime is 1007957. The reversal of 1007952 is 2597001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007957) 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, 12103 + ... + 12185.

2^1007952 is an apocalyptic number.

1007952 is a gapful number since it is divisible by the number (12) 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 1007952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499904).

1007952 is an abundant number, since it is smaller than the sum of its proper divisors (1991856).

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

1007952 is a wasteful number, since it uses less digits than its factorization.

1007952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 1007952 is about 1003.9681269841. The cubic root of 1007952 is about 100.2643671509.

The spelling of 1007952 in words is "one million, seven thousand, nine hundred fifty-two".