87505920 has 220 divisors, whose sum is σ = 315057864. Its totient is φ = 23224320.

The previous prime is 87505889. The next prime is 87505933. The reversal of 87505920 is 2950578.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 414615 + ... + 414825.

Almost surely, 2^87505920 is an apocalyptic number.

87505920 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 87505920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157528932).

87505920 is an abundant number, since it is smaller than the sum of its proper divisors (227551944).

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

87505920 is a wasteful number, since it uses less digits than its factorization.

87505920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 87505920 is about 9354.4598988931. The cubic root of 87505920 is about 443.9620128202.

The spelling of 87505920 in words is "eighty-seven million, five hundred five thousand, nine hundred twenty".