87644760 has 128 divisors (see below), whose sum is σ = 303713280. Its totient is φ = 19819008.

The previous prime is 87644759. The next prime is 87644761. The reversal of 87644760 is 6744678.

It is an interprime number because it is at equal distance from previous prime (87644759) and next prime (87644761).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87644761) 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 31 ways as a sum of consecutive naturals, for example, 86014 + ... + 87026.

It is an arithmetic number, because the mean of its divisors is an integer number (2372760).

Almost surely, 2^87644760 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 87644760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151856640).

87644760 is an abundant number, since it is smaller than the sum of its proper divisors (216068520).

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

87644760 is a wasteful number, since it uses less digits than its factorization.

87644760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 87644760 is about 9361.8780167229. The cubic root of 87644760 is about 444.1966907127.

The spelling of 87644760 in words is "eighty-seven million, six hundred forty-four thousand, seven hundred sixty".