87734304 has 108 divisors (see below), whose sum is σ = 290274894. Its totient is φ = 25062912.

The previous prime is 87734291. The next prime is 87734321. The reversal of 87734304 is 40343778.

It can be written as a sum of positive squares in only one way, i.e., 66389904 + 21344400 = 8148^2 + 4620^2 .

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 (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11004 + ... + 17220.

Almost surely, 2^87734304 is an apocalyptic number.

87734304 is a gapful number since it is divisible by the number (84) 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 87734304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145137447).

87734304 is an abundant number, since it is smaller than the sum of its proper divisors (202540590).

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

87734304 is a wasteful number, since it uses less digits than its factorization.

87734304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6247 (or 6229 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 87734304 is about 9366.6591696293. The cubic root of 87734304 is about 444.3479133317.

The spelling of 87734304 in words is "eighty-seven million, seven hundred thirty-four thousand, three hundred four".