10237864 has 80 divisors (see below), whose sum is σ = 24704820. Its totient is φ = 3951360.

The previous prime is 10237861. The next prime is 10237879. The reversal of 10237864 is 46873201.

10237864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8076964 + 2160900 = 2842^2 + 1470^2 .

It is not an unprimeable number, because it can be changed into a prime (10237861) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 249684 + ... + 249724.

It is a vampire number, since it can be written as 1274 ⋅ 8036 (with its own digits).

Almost surely, 2^10237864 is an apocalyptic number.

10237864 is a gapful number since it is divisible by the number (14) 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 10237864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12352410).

10237864 is an abundant number, since it is smaller than the sum of its proper divisors (14466956).

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

10237864 is an equidigital number, since it uses as much as digits as its factorization.

10237864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 10237864 is about 3199.6662325936. Note that the first 3 decimals coincide. The cubic root of 10237864 is about 217.1383093296.

The spelling of 10237864 in words is "ten million, two hundred thirty-seven thousand, eight hundred sixty-four".