87498120 has 128 divisors (see below), whose sum is σ = 277770240. Its totient is φ = 22014720.

The previous prime is 87498101. The next prime is 87498127. The reversal of 87498120 is 2189478.

It is a super-3 number, since 3×87498120³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (87498127) 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 31 ways as a sum of consecutive naturals, for example, 159687 + ... + 160233.

It is an arithmetic number, because the mean of its divisors is an integer number (2170080).

Almost surely, 2^87498120 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 87498120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138885120).

87498120 is an abundant number, since it is smaller than the sum of its proper divisors (190272120).

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

87498120 is a wasteful number, since it uses less digits than its factorization.

87498120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 87498120 is about 9354.0429761681. The cubic root of 87498120 is about 443.9488213066.

It can be divided in two parts, 8 and 7498120, that added together give a triangular number (7498128 = T₃₈₇₂).

The spelling of 87498120 in words is "eighty-seven million, four hundred ninety-eight thousand, one hundred twenty".