87247944 has 144 divisors (see below), whose sum is σ = 287352000. Its totient is φ = 23422464.

The previous prime is 87247931. The next prime is 87247949. The reversal of 87247944 is 44974278.

It is a super-2 number, since 2×87247944² = 15224407464454272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 87247944.

It is not an unprimeable number, because it can be changed into a prime (87247949) 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 35 ways as a sum of consecutive naturals, for example, 145357 + ... + 145955.

It is an arithmetic number, because the mean of its divisors is an integer number (1995500).

Almost surely, 2^87247944 is an apocalyptic number.

87247944 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 87247944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143676000).

87247944 is an abundant number, since it is smaller than the sum of its proper divisors (200104056).

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

87247944 is a wasteful number, since it uses less digits than its factorization.

87247944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 628 counting only the distinct ones).

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

The square root of 87247944 is about 9340.6607903296. The cubic root of 87247944 is about 443.5253022563.

The spelling of 87247944 in words is "eighty-seven million, two hundred forty-seven thousand, nine hundred forty-four".