161257920 has 224 divisors, whose sum is σ = 557637696. Its totient is φ = 39321600.

The previous prime is 161257897. The next prime is 161257927. The reversal of 161257920 is 29752161.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161257927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 669000 + ... + 669240.

It is an arithmetic number, because the mean of its divisors is an integer number (2489454).

Almost surely, 2^161257920 is an apocalyptic number.

161257920 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 161257920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278818848).

161257920 is an abundant number, since it is smaller than the sum of its proper divisors (396379776).

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

161257920 is a wasteful number, since it uses less digits than its factorization.

161257920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 161257920 is about 12698.7369450666. The cubic root of 161257920 is about 544.3025278063.

The spelling of 161257920 in words is "one hundred sixty-one million, two hundred fifty-seven thousand, nine hundred twenty".