87577578 has 64 divisors (see below), whose sum is σ = 215879040. Its totient is φ = 26092800.

The previous prime is 87577547. The next prime is 87577579.

87577578 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (87577579) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35026 + ... + 37442.

It is an arithmetic number, because the mean of its divisors is an integer number (3373110).

Almost surely, 2^87577578 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87577578, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107939520).

87577578 is an abundant number, since it is smaller than the sum of its proper divisors (128301462).

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

87577578 is a wasteful number, since it uses less digits than its factorization.

87577578 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2500 (or 2494 counting only the distinct ones).

The product of its digits is 3841600, while the sum is 54.

The square root of 87577578 is about 9358.2892667410. The cubic root of 87577578 is about 444.0831655754.

The spelling of 87577578 in words is "eighty-seven million, five hundred seventy-seven thousand, five hundred seventy-eight".