87381000 has 384 divisors, whose sum is σ = 360172800. Its totient is φ = 18662400.

The previous prime is 87380999. The next prime is 87381017. The reversal of 87381000 is 18378.

It is a super-2 number, since 2×87381000² = 15270878322000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1196964 + ... + 1197036.

It is an arithmetic number, because the mean of its divisors is an integer number (937950).

Almost surely, 2^87381000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87381000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180086400).

87381000 is an abundant number, since it is smaller than the sum of its proper divisors (272791800).

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

87381000 is a wasteful number, since it uses less digits than its factorization.

87381000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 87381000 is about 9347.7804852275. The cubic root of 87381000 is about 443.7506513248.

Adding to 87381000 its reverse (18378), we get a palindrome (87399378).

The spelling of 87381000 in words is "eighty-seven million, three hundred eighty-one thousand".