88473600 has 216 divisors, whose sum is σ = 325057320. Its totient is φ = 23592960.

The previous prime is 88473569. The next prime is 88473611. The reversal of 88473600 is 637488.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as 6! ⋅ 5! ⋅ (2!)¹⁰.

88473600 is a `hidden beast` number, since 8 + 8 + 47 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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 pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17694718 + ... + 17694722.

It is an arithmetic number, because the mean of its divisors is an integer number (1504895).

Almost surely, 2^88473600 is an apocalyptic number.

88473600 is a gapful number since it is divisible by the number (80) 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 88473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162528660).

88473600 is an abundant number, since it is smaller than the sum of its proper divisors (236583720).

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

88473600 is an frugal number, since it uses more digits than its factorization.

88473600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 88473600 is about 9406.0406122874. The cubic root of 88473600 is about 445.5925280268.

The spelling of 88473600 in words is "eighty-eight million, four hundred seventy-three thousand, six hundred".