87404772 has 144 divisors (see below), whose sum is σ = 259725312. Its totient is φ = 22389120.

The previous prime is 87404771. The next prime is 87404773. The reversal of 87404772 is 27740478.

It is an interprime number because it is at equal distance from previous prime (87404771) and next prime (87404773).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 87404772.

It is not an unprimeable number, because it can be changed into a prime (87404771) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 667147 + ... + 667277.

It is an arithmetic number, because the mean of its divisors is an integer number (1803648).

Almost surely, 2^87404772 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 87404772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129862656).

87404772 is an abundant number, since it is smaller than the sum of its proper divisors (172320540).

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

87404772 is a wasteful number, since it uses less digits than its factorization.

87404772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 87808, while the sum is 39.

The square root of 87404772 is about 9349.0519305435. The cubic root of 87404772 is about 443.7908884627.

The spelling of 87404772 in words is "eighty-seven million, four hundred four thousand, seven hundred seventy-two".