87030000 has 150 divisors (see below), whose sum is σ = 304671224. Its totient is φ = 23184000.

The previous prime is 87029993. The next prime is 87030011. The reversal of 87030000 is 3078.

It is a tau number, because it is divible by the number of its divisors (150).

It is a super-3 number, since 3×87030000³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 89517 + ... + 90483.

Almost surely, 2^87030000 is an apocalyptic number.

87030000 is a gapful number since it is divisible by the number (80) 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 87030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152335612).

87030000 is an abundant number, since it is smaller than the sum of its proper divisors (217641224).

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

87030000 is a wasteful number, since it uses less digits than its factorization.

87030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 87030000 is about 9328.9870832797. The cubic root of 87030000 is about 443.1556878981.

Adding to 87030000 its reverse (3078), we get a palindrome (87033078).

The spelling of 87030000 in words is "eighty-seven million, thirty thousand".