10164420 has 96 divisors (see below), whose sum is σ = 36153600. Its totient is φ = 2322432.

The previous prime is 10164409. The next prime is 10164439. The reversal of 10164420 is 2446101.

10164420 is a `hidden beast` number, since 1 + 0 + 1 + 644 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10164393 and 10164402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2436 + ... + 5124.

It is an arithmetic number, because the mean of its divisors is an integer number (376600).

Almost surely, 2^10164420 is an apocalyptic number.

10164420 is a gapful number since it is divisible by the number (10) 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 10164420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18076800).

10164420 is an abundant number, since it is smaller than the sum of its proper divisors (25989180).

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

10164420 is a wasteful number, since it uses less digits than its factorization.

10164420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2714 (or 2706 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10164420 is about 3188.1687533755. The cubic root of 10164420 is about 216.6178298871.

The spelling of 10164420 in words is "ten million, one hundred sixty-four thousand, four hundred twenty".