87489120 has 96 divisors (see below), whose sum is σ = 278201952. Its totient is φ = 23109632.

The previous prime is 87489107. The next prime is 87489139. The reversal of 87489120 is 2198478.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×87489120² = 15308692236748800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53434 + ... + 55046.

It is an arithmetic number, because the mean of its divisors is an integer number (2897937).

Almost surely, 2^87489120 is an apocalyptic number.

87489120 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 87489120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139100976).

87489120 is an abundant number, since it is smaller than the sum of its proper divisors (190712832).

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

87489120 is a wasteful number, since it uses less digits than its factorization.

87489120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744 (or 1736 counting only the distinct ones).

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

The square root of 87489120 is about 9353.5618883931. The cubic root of 87489120 is about 443.9335993552.

The spelling of 87489120 in words is "eighty-seven million, four hundred eighty-nine thousand, one hundred twenty".