87554304 has 144 divisors (see below), whose sum is σ = 264902400. Its totient is φ = 28514304.

The previous prime is 87554297. The next prime is 87554317. The reversal of 87554304 is 40345578.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×87554304² = 15331512297848832, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 366217 + ... + 366455.

It is an arithmetic number, because the mean of its divisors is an integer number (1839600).

Almost surely, 2^87554304 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 87554304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132451200).

87554304 is an abundant number, since it is smaller than the sum of its proper divisors (177348096).

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

87554304 is a wasteful number, since it uses less digits than its factorization.

87554304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 87554304 is about 9357.0456876089. The cubic root of 87554304 is about 444.0438232858.

The spelling of 87554304 in words is "eighty-seven million, five hundred fifty-four thousand, three hundred four".