1410006164 has 36 divisors (see below), whose sum is σ = 2873111220. Its totient is φ = 603711360.

The previous prime is 1410006161. The next prime is 1410006209. The reversal of 1410006164 is 4616000141.

It can be written as a sum of positive squares in 2 ways, for example, as 807696400 + 602309764 = 28420^2 + 24542^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1410006161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 249854 + ... + 255434.

It is an arithmetic number, because the mean of its divisors is an integer number (79808645).

Almost surely, 2^1410006164 is an apocalyptic number.

1410006164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1410006164 is an abundant number, since it is smaller than the sum of its proper divisors (1463105056).

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

1410006164 is a wasteful number, since it uses less digits than its factorization.

1410006164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6888 (or 6879 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 1410006164 is about 37550.0487882506. The cubic root of 1410006164 is about 1121.3478044890.

The spelling of 1410006164 in words is "one billion, four hundred ten million, six thousand, one hundred sixty-four".