162993960 has 96 divisors (see below), whose sum is σ = 560912040. Its totient is φ = 40906752.

The previous prime is 162993953. The next prime is 162993967. The reversal of 162993960 is 69399261.

It is a happy number.

162993960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (162993953) and next prime (162993967).

It can be written as a sum of positive squares in 4 ways, for example, as 162868644 + 125316 = 12762^2 + 354^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (162993967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7197 + ... + 19436.

Almost surely, 2^162993960 is an apocalyptic number.

162993960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

162993960 is an abundant number, since it is smaller than the sum of its proper divisors (397918080).

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

162993960 is a wasteful number, since it uses less digits than its factorization.

162993960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26667 (or 26660 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 162993960 is about 12766.9087879565. The cubic root of 162993960 is about 546.2488098391.

The spelling of 162993960 in words is "one hundred sixty-two million, nine hundred ninety-three thousand, nine hundred sixty".