87480000 has 280 divisors, whose sum is σ = 325333360. Its totient is φ = 23328000.

The previous prime is 87479999. The next prime is 87480007. The reversal of 87480000 is 8478.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (87480007) 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 39 ways as a sum of consecutive naturals, for example, 17495998 + ... + 17496002.

Almost surely, 2^87480000 is an apocalyptic number.

87480000 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 87480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162666680).

87480000 is an abundant number, since it is smaller than the sum of its proper divisors (237853360).

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

87480000 is an frugal number, since it uses more digits than its factorization.

87480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 87480000 is about 9353.0743608719. The cubic root of 87480000 is about 443.9181733795.

Multiplying 87480000 by its sum of digits (27), we get a square (2361960000 = 48600²).

87480000 divided by its sum of digits (27) gives a square (3240000 = 1800²).

Adding to 87480000 its reverse (8478), we get a palindrome (87488478).

The spelling of 87480000 in words is "eighty-seven million, four hundred eighty thousand".