87220146 has 64 divisors (see below), whose sum is σ = 199382400. Its totient is φ = 25214976.

The previous prime is 87220141. The next prime is 87220151. The reversal of 87220146 is 64102278.

It is an interprime number because it is at equal distance from previous prime (87220141) and next prime (87220151).

It is a super-2 number, since 2×87220146² = 15214707736522632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (87220141) 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, 339250 + ... + 339506.

It is an arithmetic number, because the mean of its divisors is an integer number (3115350).

Almost surely, 2^87220146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87220146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99691200).

87220146 is an abundant number, since it is smaller than the sum of its proper divisors (112162254).

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

87220146 is a wasteful number, since it uses less digits than its factorization.

87220146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523.

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 87220146 is about 9339.1726614299. The cubic root of 87220146 is about 443.4781935017.

The spelling of 87220146 in words is "eighty-seven million, two hundred twenty thousand, one hundred forty-six".