10037988 has 36 divisors (see below), whose sum is σ = 25857468. Its totient is φ = 3282240.

The previous prime is 10037987. The next prime is 10038001. The reversal of 10037988 is 88973001.

It can be written as a sum of positive squares in 2 ways, for example, as 7354944 + 2683044 = 2712^2 + 1638^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10037988² = 201522406176288, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10037987) 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 11 ways as a sum of consecutive naturals, for example, 723 + ... + 4538.

It is an arithmetic number, because the mean of its divisors is an integer number (718263).

Almost surely, 2^10037988 is an apocalyptic number.

10037988 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10037988 is an abundant number, since it is smaller than the sum of its proper divisors (15819480).

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

10037988 is a wasteful number, since it uses less digits than its factorization.

10037988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5324 (or 5319 counting only the distinct ones).

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

The square root of 10037988 is about 3168.2783968585. The cubic root of 10037988 is about 215.7159331650.

It can be divided in two parts, 10037 and 988, that added together give a square (11025 = 105²).

The spelling of 10037988 in words is "ten million, thirty-seven thousand, nine hundred eighty-eight".