87166044 has 144 divisors (see below), whose sum is σ = 272982528. Its totient is φ = 23779008.

The previous prime is 87166039. The next prime is 87166049. The reversal of 87166044 is 44066178.

It is an interprime number because it is at equal distance from previous prime (87166039) and next prime (87166049).

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 (87166049) 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 47 ways as a sum of consecutive naturals, for example, 156214 + ... + 156770.

It is an arithmetic number, because the mean of its divisors is an integer number (1895712).

Almost surely, 2^87166044 is an apocalyptic number.

87166044 is a gapful number since it is divisible by the number (84) 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 87166044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136491264).

87166044 is an abundant number, since it is smaller than the sum of its proper divisors (185816484).

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

87166044 is a wasteful number, since it uses less digits than its factorization.

87166044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 87166044 is about 9336.2757028700. The cubic root of 87166044 is about 443.3864791408.

The spelling of 87166044 in words is "eighty-seven million, one hundred sixty-six thousand, forty-four".