162461376 has 420 divisors, whose sum is σ = 621318544. Its totient is φ = 41057280.

The previous prime is 162461371. The next prime is 162461389. The reversal of 162461376 is 673164261.

It is a happy number.

162461376 is a `hidden beast` number, since 16 + 24 + 613 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 162461376.

It is not an unprimeable number, because it can be changed into a prime (162461371) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4390830 + ... + 4390866.

Almost surely, 2^162461376 is an apocalyptic number.

162461376 is a gapful number since it is divisible by the number (16) 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 162461376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310659272).

162461376 is an abundant number, since it is smaller than the sum of its proper divisors (458857168).

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

162461376 is a wasteful number, since it uses less digits than its factorization.

162461376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 60 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 162461376 is about 12746.0337360294. The cubic root of 162461376 is about 545.6532032752.

The spelling of 162461376 in words is "one hundred sixty-two million, four hundred sixty-one thousand, three hundred seventy-six".