87073580 has 96 divisors (see below), whose sum is σ = 216034560. Its totient is φ = 29134080.

The previous prime is 87073579. The next prime is 87073589. The reversal of 87073580 is 8537078.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (87073589) 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, 154379 + ... + 154941.

It is an arithmetic number, because the mean of its divisors is an integer number (2250360).

Almost surely, 2^87073580 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 87073580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108017280).

87073580 is an abundant number, since it is smaller than the sum of its proper divisors (128960980).

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

87073580 is a wasteful number, since it uses less digits than its factorization.

87073580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 38.

The square root of 87073580 is about 9331.3225214864. The cubic root of 87073580 is about 443.2296451626.

The spelling of 87073580 in words is "eighty-seven million, seventy-three thousand, five hundred eighty".