88305480 has 192 divisors, whose sum is σ = 311351040. Its totient is φ = 21620736.

The previous prime is 88305479. The next prime is 88305509. The reversal of 88305480 is 8450388.

88305480 is a `hidden beast` number, since 88 + 30 + 548 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 287487 + ... + 287793.

It is an arithmetic number, because the mean of its divisors is an integer number (1621620).

Almost surely, 2^88305480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88305480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155675520).

88305480 is an abundant number, since it is smaller than the sum of its proper divisors (223045560).

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

88305480 is a wasteful number, since it uses less digits than its factorization.

88305480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 88305480 is about 9397.0995525215. The cubic root of 88305480 is about 445.3101066169.

The spelling of 88305480 in words is "eighty-eight million, three hundred five thousand, four hundred eighty".