87841620 has 36 divisors (see below), whose sum is σ = 266453460. Its totient is φ = 23424384.

The previous prime is 87841597. The next prime is 87841627. The reversal of 87841620 is 2614878.

It can be written as a sum of positive squares in 2 ways, for example, as 11209104 + 76632516 = 3348^2 + 8754^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×87841620³ (a number of 25 digits) contains 333 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 (87841627) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 243825 + ... + 244184.

It is an arithmetic number, because the mean of its divisors is an integer number (7401485).

Almost surely, 2^87841620 is an apocalyptic number.

It is an amenable number.

87841620 is an abundant number, since it is smaller than the sum of its proper divisors (178611840).

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

87841620 is a wasteful number, since it uses less digits than its factorization.

87841620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488024 (or 488019 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 87841620 is about 9372.3860355835. The cubic root of 87841620 is about 444.5290139533.

It can be divided in two parts, 8784 and 1620, that added together give a square (10404 = 102²).

The spelling of 87841620 in words is "eighty-seven million, eight hundred forty-one thousand, six hundred twenty".