807948 has 24 divisors (see below), whose sum is σ = 2094960. Its totient is φ = 269280.

The previous prime is 807943. The next prime is 807949. The reversal of 807948 is 849708.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (807941) by changing a digit.

807948 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3633 + ... + 3848.

It is an arithmetic number, because the mean of its divisors is an integer number (87290).

2⁸⁰⁷⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

807948 is an abundant number, since it is smaller than the sum of its proper divisors (1287012).

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

807948 is a wasteful number, since it uses less digits than its factorization.

807948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7494 (or 7486 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 807948 is about 898.8592770840. The cubic root of 807948 is about 93.1381920563.

The spelling of 807948 in words is "eight hundred seven thousand, nine hundred forty-eight".