87270048 has 192 divisors, whose sum is σ = 272764800. Its totient is φ = 27433728.

The previous prime is 87270011. The next prime is 87270049. The reversal of 87270048 is 84007278.

It is a super-2 number, since 2×87270048² = 15232122555844608, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 87269994 and 87270021.

It is not an unprimeable number, because it can be changed into a prime (87270049) 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 31 ways as a sum of consecutive naturals, for example, 2029515 + ... + 2029557.

It is an arithmetic number, because the mean of its divisors is an integer number (1420650).

Almost surely, 2^87270048 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 87270048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136382400).

87270048 is an abundant number, since it is smaller than the sum of its proper divisors (185494752).

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

87270048 is an equidigital number, since it uses as much as digits as its factorization.

87270048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 87270048 is about 9341.8439293322. The cubic root of 87270048 is about 443.5627543537.

The spelling of 87270048 in words is "eighty-seven million, two hundred seventy thousand, forty-eight".