161264880 has 240 divisors, whose sum is σ = 632548800. Its totient is φ = 36804096.

The previous prime is 161264869. The next prime is 161264923. The reversal of 161264880 is 88462161.

161264880 is a `hidden beast` number, since 1 + 6 + 1 + 2 + 648 + 8 + 0 = 666.

161264880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246634 + ... + 247286.

It is an arithmetic number, because the mean of its divisors is an integer number (2635620).

Almost surely, 2^161264880 is an apocalyptic number.

161264880 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 161264880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316274400).

161264880 is an abundant number, since it is smaller than the sum of its proper divisors (471283920).

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

161264880 is a wasteful number, since it uses less digits than its factorization.

161264880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 161264880 is about 12699.0109851122. The cubic root of 161264880 is about 544.3103585144.

The spelling of 161264880 in words is "one hundred sixty-one million, two hundred sixty-four thousand, eight hundred eighty".