161753520 has 80 divisors (see below), whose sum is σ = 506476512. Its totient is φ = 42700800.

The previous prime is 161753519. The next prime is 161753587. The reversal of 161753520 is 25357161.

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 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 15 ways as a sum of consecutive naturals, for example, 20904 + ... + 27576.

Almost surely, 2^161753520 is an apocalyptic number.

161753520 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 161753520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253238256).

161753520 is an abundant number, since it is smaller than the sum of its proper divisors (344722992).

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

161753520 is a wasteful number, since it uses less digits than its factorization.

161753520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6790 (or 6784 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 161753520 is about 12718.2357267036. The cubic root of 161753520 is about 544.8595659824.

The spelling of 161753520 in words is "one hundred sixty-one million, seven hundred fifty-three thousand, five hundred twenty".