162991040 has 112 divisors (see below), whose sum is σ = 403250400. Its totient is φ = 62717952.

The previous prime is 162991021. The next prime is 162991051. The reversal of 162991040 is 40199261.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 162990988 and 162991006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1680272 + ... + 1680368.

It is an arithmetic number, because the mean of its divisors is an integer number (3600450).

Almost surely, 2^162991040 is an apocalyptic number.

162991040 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 162991040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201625200).

162991040 is an abundant number, since it is smaller than the sum of its proper divisors (240259360).

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

162991040 is an equidigital number, since it uses as much as digits as its factorization.

162991040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 162991040 is about 12766.7944292998. The cubic root of 162991040 is about 546.2455478450.

The spelling of 162991040 in words is "one hundred sixty-two million, nine hundred ninety-one thousand, forty".