87593760 has 144 divisors (see below), whose sum is σ = 304274880. Its totient is φ = 22940160.

The previous prime is 87593749. The next prime is 87593767. The reversal of 87593760 is 6739578.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (87593767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84445 + ... + 85475.

It is an arithmetic number, because the mean of its divisors is an integer number (2113020).

Almost surely, 2^87593760 is an apocalyptic number.

87593760 is a gapful number since it is divisible by the number (80) 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 87593760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152137440).

87593760 is an abundant number, since it is smaller than the sum of its proper divisors (216681120).

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

87593760 is a wasteful number, since it uses less digits than its factorization.

87593760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 87593760 is about 9359.1538079038. The cubic root of 87593760 is about 444.1105154649.

The spelling of 87593760 in words is "eighty-seven million, five hundred ninety-three thousand, seven hundred sixty".