10035948 has 24 divisors (see below), whose sum is σ = 25218928. Its totient is φ = 3087936.

The previous prime is 10035947. The next prime is 10035973. The reversal of 10035948 is 84953001.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10035941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32011 + ... + 32322.

Almost surely, 2^10035948 is an apocalyptic number.

It is an amenable number.

10035948 is an abundant number, since it is smaller than the sum of its proper divisors (15182980).

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

10035948 is a wasteful number, since it uses less digits than its factorization.

10035948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64353 (or 64351 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 10035948 is about 3167.9564390945. The cubic root of 10035948 is about 215.7013190040.

Adding to 10035948 its reverse (84953001), we get a palindrome (94988949).

The spelling of 10035948 in words is "ten million, thirty-five thousand, nine hundred forty-eight".