10167216 has 20 divisors (see below), whose sum is σ = 26265432. Its totient is φ = 3389056.

The previous prime is 10167211. The next prime is 10167263. The reversal of 10167216 is 61276101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (10167211) 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 3 ways as a sum of consecutive naturals, for example, 105861 + ... + 105956.

Almost surely, 2^10167216 is an apocalyptic number.

10167216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10167216 is an abundant number, since it is smaller than the sum of its proper divisors (16098216).

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

10167216 is a wasteful number, since it uses less digits than its factorization.

10167216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211828 (or 211822 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 10167216 is about 3188.6072194612. The cubic root of 10167216 is about 216.6376902735.

The spelling of 10167216 in words is "ten million, one hundred sixty-seven thousand, two hundred sixteen".