87381630 has 96 divisors (see below), whose sum is σ = 264648384. Its totient is φ = 19588608.

The previous prime is 87381629. The next prime is 87381631. The reversal of 87381630 is 3618378.

It is an interprime number because it is at equal distance from previous prime (87381629) and next prime (87381631).

It is a super-2 number, since 2×87381630² = 15271098522913800, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87381631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32082 + ... + 34698.

It is an arithmetic number, because the mean of its divisors is an integer number (2756754).

Almost surely, 2^87381630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87381630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132324192).

87381630 is an abundant number, since it is smaller than the sum of its proper divisors (177266754).

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

87381630 is a wasteful number, since it uses less digits than its factorization.

87381630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2690 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 87381630 is about 9347.8141830056. The cubic root of 87381630 is about 443.7517177742.

The spelling of 87381630 in words is "eighty-seven million, three hundred eighty-one thousand, six hundred thirty".