161635120 has 40 divisors (see below), whose sum is σ = 384975360. Its totient is φ = 63075840.

The previous prime is 161635093. The next prime is 161635127. The reversal of 161635120 is 21536161.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×161635120² = 52251824034828800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (161635127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21360 + ... + 27919.

It is an arithmetic number, because the mean of its divisors is an integer number (9624384).

Almost surely, 2^161635120 is an apocalyptic number.

161635120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

161635120 is an abundant number, since it is smaller than the sum of its proper divisors (223340240).

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

161635120 is a wasteful number, since it uses less digits than its factorization.

161635120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49333 (or 49327 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 161635120 is about 12713.5801409359. The cubic root of 161635120 is about 544.7265918142.

The spelling of 161635120 in words is "one hundred sixty-one million, six hundred thirty-five thousand, one hundred twenty".