10414164 has 48 divisors (see below), whose sum is σ = 25373376. Its totient is φ = 3321600.

The previous prime is 10414163. The next prime is 10414169. The reversal of 10414164 is 46141401.

10414164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10414164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10414163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29839 + ... + 30185.

It is an arithmetic number, because the mean of its divisors is an integer number (528612).

Almost surely, 2^10414164 is an apocalyptic number.

It is an amenable number.

10414164 is an abundant number, since it is smaller than the sum of its proper divisors (14959212).

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

10414164 is a wasteful number, since it uses less digits than its factorization.

10414164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 10414164 is about 3227.0983870964. The cubic root of 10414164 is about 218.3776245375.

Adding to 10414164 its reverse (46141401), we get a palindrome (56555565).

It can be divided in two parts, 1041 and 4164, that multiplied together give a square (4334724 = 2082²).

The spelling of 10414164 in words is "ten million, four hundred fourteen thousand, one hundred sixty-four".