161407920 has 80 divisors (see below), whose sum is σ = 504119520. Its totient is φ = 42719232.

The previous prime is 161407919. The next prime is 161407927. The reversal of 161407920 is 29704161.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (161407927) 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, 30426 + ... + 35334.

It is an arithmetic number, because the mean of its divisors is an integer number (6301494).

Almost surely, 2^161407920 is an apocalyptic number.

161407920 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 161407920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252059760).

161407920 is an abundant number, since it is smaller than the sum of its proper divisors (342711600).

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

161407920 is a wasteful number, since it uses less digits than its factorization.

161407920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5062 (or 5056 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 161407920 is about 12704.6416714522. The cubic root of 161407920 is about 544.4712431932.

The spelling of 161407920 in words is "one hundred sixty-one million, four hundred seven thousand, nine hundred twenty".