87246720 has 448 divisors, whose sum is σ = 361214640. Its totient is φ = 19906560.

The previous prime is 87246713. The next prime is 87246721. The reversal of 87246720 is 2764278.

It is a super-2 number, since 2×87246720² = 15223980301516800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87246721) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 5132152 + ... + 5132168.

Almost surely, 2^87246720 is an apocalyptic number.

87246720 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 87246720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180607320).

87246720 is an abundant number, since it is smaller than the sum of its proper divisors (273967920).

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

87246720 is a wasteful number, since it uses less digits than its factorization.

87246720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 87246720 is about 9340.5952701099. The cubic root of 87246720 is about 443.5232281769.

The spelling of 87246720 in words is "eighty-seven million, two hundred forty-six thousand, seven hundred twenty".