162992144 has 80 divisors (see below), whose sum is σ = 371404800. Its totient is φ = 67858560.

The previous prime is 162992131. The next prime is 162992147. The reversal of 162992144 is 441299261.

It is a junction number, because it is equal to n+sod(n) for n = 162992098 and 162992107.

It is not an unprimeable number, because it can be changed into a prime (162992147) 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, 818957 + ... + 819155.

It is an arithmetic number, because the mean of its divisors is an integer number (4642560).

Almost surely, 2^162992144 is an apocalyptic number.

162992144 is a gapful number since it is divisible by the number (14) 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 162992144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185702400).

162992144 is an abundant number, since it is smaller than the sum of its proper divisors (208412656).

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

162992144 is a wasteful number, since it uses less digits than its factorization.

162992144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 382 counting only the distinct ones).

The product of its digits is 31104, while the sum is 38.

The square root of 162992144 is about 12766.8376663918. The cubic root of 162992144 is about 546.2467811514.

The spelling of 162992144 in words is "one hundred sixty-two million, nine hundred ninety-two thousand, one hundred forty-four".