10087938 has 72 divisors (see below), whose sum is σ = 26515008. Its totient is φ = 2710224.

The previous prime is 10087933. The next prime is 10087963. The reversal of 10087938 is 83978001.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10087933) 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 35 ways as a sum of consecutive naturals, for example, 170953 + ... + 171011.

It is an arithmetic number, because the mean of its divisors is an integer number (368264).

Almost surely, 2^10087938 is an apocalyptic number.

10087938 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10087938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13257504).

10087938 is an abundant number, since it is smaller than the sum of its proper divisors (16427070).

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

10087938 is a wasteful number, since it uses less digits than its factorization.

10087938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 10087938 is about 3176.1514447520. The cubic root of 10087938 is about 216.0731490933.

It can be divided in two parts, 10087 and 938, that added together give a square (11025 = 105²).

The spelling of 10087938 in words is "ten million, eighty-seven thousand, nine hundred thirty-eight".