87949312 has 72 divisors (see below), whose sum is σ = 195034392. Its totient is φ = 39321600.

The previous prime is 87949307. The next prime is 87949321. The reversal of 87949312 is 21394978.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1441762 + ... + 1441822.

It is an arithmetic number, because the mean of its divisors is an integer number (2708811).

Almost surely, 2^87949312 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 87949312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97517196).

87949312 is an abundant number, since it is smaller than the sum of its proper divisors (107085080).

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

87949312 is an frugal number, since it uses more digits than its factorization.

87949312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 74 counting only the distinct ones).

The product of its digits is 108864, while the sum is 43.

The square root of 87949312 is about 9378.1294510153. The cubic root of 87949312 is about 444.7106008762.

The spelling of 87949312 in words is "eighty-seven million, nine hundred forty-nine thousand, three hundred twelve".