87382890 has 192 divisors, whose sum is σ = 283046400. Its totient is φ = 18247680.

The previous prime is 87382871. The next prime is 87382891. The reversal of 87382890 is 9828378.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (87382891) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 439011 + ... + 439209.

It is an arithmetic number, because the mean of its divisors is an integer number (1474200).

Almost surely, 2^87382890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87382890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141523200).

87382890 is an abundant number, since it is smaller than the sum of its proper divisors (195663510).

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

87382890 is a wasteful number, since it uses less digits than its factorization.

87382890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 87382890 is about 9347.8815781973. The cubic root of 87382890 is about 443.7538506576.

It can be divided in two parts, 8738 and 2890, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 87382890 in words is "eighty-seven million, three hundred eighty-two thousand, eight hundred ninety".