87309456 has 120 divisors (see below), whose sum is σ = 250519680. Its totient is φ = 26178048.

The previous prime is 87309419. The next prime is 87309473. The reversal of 87309456 is 65490378.

It is a happy number.

It is a super-2 number, since 2×87309456² = 15245882214031872, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 381150 + ... + 381378.

It is an arithmetic number, because the mean of its divisors is an integer number (2087664).

Almost surely, 2^87309456 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 87309456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125259840).

87309456 is an abundant number, since it is smaller than the sum of its proper divisors (163210224).

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

87309456 is a wasteful number, since it uses less digits than its factorization.

87309456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 87309456 is about 9343.9529108403. The cubic root of 87309456 is about 443.6295099436.

The spelling of 87309456 in words is "eighty-seven million, three hundred nine thousand, four hundred fifty-six".