87025120 has 192 divisors, whose sum is σ = 260789760. Its totient is φ = 26707968.

The previous prime is 87025117. The next prime is 87025121. The reversal of 87025120 is 2152078.

It is a super-2 number, since 2×87025120² = 15146743022028800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87025121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 626011 + ... + 626149.

It is an arithmetic number, because the mean of its divisors is an integer number (1358280).

Almost surely, 2^87025120 is an apocalyptic number.

87025120 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 87025120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130394880).

87025120 is an abundant number, since it is smaller than the sum of its proper divisors (173764640).

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

87025120 is a wasteful number, since it uses less digits than its factorization.

87025120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 87025120 is about 9328.7255292457. The cubic root of 87025120 is about 443.1474047767.

Adding to 87025120 its reverse (2152078), we get a palindrome (89177198).

The spelling of 87025120 in words is "eighty-seven million, twenty-five thousand, one hundred twenty".