87081750 has 256 divisors, whose sum is σ = 293529600. Its totient is φ = 18662400.

The previous prime is 87081733. The next prime is 87081767. The reversal of 87081750 is 5718078.

It is an interprime number because it is at equal distance from previous prime (87081733) and next prime (87081767).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 897702 + ... + 897798.

It is an arithmetic number, because the mean of its divisors is an integer number (1146600).

Almost surely, 2^87081750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87081750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146764800).

87081750 is an abundant number, since it is smaller than the sum of its proper divisors (206447850).

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

87081750 is a wasteful number, since it uses less digits than its factorization.

87081750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The square root of 87081750 is about 9331.7602841050. The cubic root of 87081750 is about 443.2435072815.

The spelling of 87081750 in words is "eighty-seven million, eighty-one thousand, seven hundred fifty".