87249120 has 192 divisors, whose sum is σ = 328043520. Its totient is φ = 19058688.

The previous prime is 87249119. The next prime is 87249157. The reversal of 87249120 is 2194278.

It is a happy number.

It is a super-2 number, since 2×87249120² = 15224817881548800, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 76716 + ... + 77844.

It is an arithmetic number, because the mean of its divisors is an integer number (1708560).

Almost surely, 2^87249120 is an apocalyptic number.

87249120 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 87249120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164021760).

87249120 is an abundant number, since it is smaller than the sum of its proper divisors (240794400).

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

87249120 is a wasteful number, since it uses less digits than its factorization.

87249120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 87249120 is about 9340.7237406959. The cubic root of 87249120 is about 443.5272949811.

The spelling of 87249120 in words is "eighty-seven million, two hundred forty-nine thousand, one hundred twenty".