88161120 has 72 divisors (see below), whose sum is σ = 300854736. Its totient is φ = 23509248.

The previous prime is 88161119. The next prime is 88161127. The reversal of 88161120 is 2116188.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88161127) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 29172 + ... + 32051.

It is an arithmetic number, because the mean of its divisors is an integer number (4178538).

Almost surely, 2^88161120 is an apocalyptic number.

88161120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

88161120 is an abundant number, since it is smaller than the sum of its proper divisors (212693616).

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

88161120 is a wasteful number, since it uses less digits than its factorization.

88161120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61244 (or 61233 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 88161120 is about 9389.4153172602. The cubic root of 88161120 is about 445.0673129668.

It can be divided in two parts, 881 and 61120, that added together give a square (62001 = 249²).

The spelling of 88161120 in words is "eighty-eight million, one hundred sixty-one thousand, one hundred twenty".