87387300 has 432 divisors, whose sum is σ = 371559552. Its totient is φ = 16588800.

The previous prime is 87387269. The next prime is 87387329. The reversal of 87387300 is 378378.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 900852 + ... + 900948.

Almost surely, 2^87387300 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 87387300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185779776).

87387300 is an abundant number, since it is smaller than the sum of its proper divisors (284172252).

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

87387300 is a wasteful number, since it uses less digits than its factorization.

87387300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 87387300 is about 9348.1174575419. The cubic root of 87387300 is about 443.7613155879.

It can be divided in two parts, 873 and 87300, that multiplied together give a square (76212900 = 8730²).

The spelling of 87387300 in words is "eighty-seven million, three hundred eighty-seven thousand, three hundred".