87941700 has 432 divisors, whose sum is σ = 363976704. Its totient is φ = 17884800.

The previous prime is 87941669. The next prime is 87941753. The reversal of 87941700 is 714978.

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, 1871077 + ... + 1871123.

Almost surely, 2^87941700 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 87941700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181988352).

87941700 is an abundant number, since it is smaller than the sum of its proper divisors (276035004).

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

87941700 is a wasteful number, since it uses less digits than its factorization.

87941700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 87941700 is about 9377.7236043722. The cubic root of 87941700 is about 444.6977706270.

The spelling of 87941700 in words is "eighty-seven million, nine hundred forty-one thousand, seven hundred".