161715840 has 512 divisors, whose sum is σ = 658022400. Its totient is φ = 33177600.

The previous prime is 161715839. The next prime is 161715857. The reversal of 161715840 is 48517161.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5216625 + ... + 5216655.

It is an arithmetic number, because the mean of its divisors is an integer number (1285200).

Almost surely, 2^161715840 is an apocalyptic number.

161715840 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 161715840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329011200).

161715840 is an abundant number, since it is smaller than the sum of its proper divisors (496306560).

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

161715840 is a wasteful number, since it uses less digits than its factorization.

161715840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The square root of 161715840 is about 12716.7543028872. The cubic root of 161715840 is about 544.8172548933.

The spelling of 161715840 in words is "one hundred sixty-one million, seven hundred fifteen thousand, eight hundred forty".