10267136 has 40 divisors (see below), whose sum is σ = 22391424. Its totient is φ = 4664320.

The previous prime is 10267109. The next prime is 10267139. The reversal of 10267136 is 63176201.

It is a super-4 number, since 4×10267136⁴ (a number of 29 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (10267139) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4721 + ... + 6543.

Almost surely, 2^10267136 is an apocalyptic number.

10267136 is a gapful number since it is divisible by the number (16) 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 10267136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11195712).

10267136 is an abundant number, since it is smaller than the sum of its proper divisors (12124288).

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

10267136 is an equidigital number, since it uses as much as digits as its factorization.

10267136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1852 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 10267136 is about 3204.2371947158. The cubic root of 10267136 is about 217.3450589815.

The spelling of 10267136 in words is "ten million, two hundred sixty-seven thousand, one hundred thirty-six".