87284736 has 352 divisors, whose sum is σ = 330140160. Its totient is φ = 22118400.

The previous prime is 87284677. The next prime is 87284737. The reversal of 87284736 is 63748278.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (352).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (451584) is a multiple of the sum of its prime divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 87284691 and 87284700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87284737) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2128876 + ... + 2128916.

Almost surely, 2^87284736 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 87284736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165070080).

87284736 is an abundant number, since it is smaller than the sum of its proper divisors (242855424).

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

87284736 is a wasteful number, since it uses less digits than its factorization.

87284736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 64 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 87284736 is about 9342.6300365582. The cubic root of 87284736 is about 443.5876375923.

The spelling of 87284736 in words is "eighty-seven million, two hundred eighty-four thousand, seven hundred thirty-six".