10162320 has 160 divisors (see below), whose sum is σ = 37711872. Its totient is φ = 2213376.

The previous prime is 10162303. The next prime is 10162351. The reversal of 10162320 is 2326101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10162320.

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, 38509 + ... + 38771.

Almost surely, 2^10162320 is an apocalyptic number.

10162320 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 10162320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18855936).

10162320 is an abundant number, since it is smaller than the sum of its proper divisors (27549552).

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

10162320 is a wasteful number, since it uses less digits than its factorization.

10162320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 10162320 is about 3187.8393936960. The cubic root of 10162320 is about 216.6029108928.

Adding to 10162320 its reverse (2326101), we get a palindrome (12488421).

The spelling of 10162320 in words is "ten million, one hundred sixty-two thousand, three hundred twenty".