87355000 has 40 divisors (see below), whose sum is σ = 204684480. Its totient is φ = 34940000.

The previous prime is 87354991. The next prime is 87355003. The reversal of 87355000 is 55378.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 87355000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87355003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3736 + ... + 13735.

It is an arithmetic number, because the mean of its divisors is an integer number (5117112).

Almost surely, 2^87355000 is an apocalyptic number.

It is an amenable number.

87355000 is an abundant number, since it is smaller than the sum of its proper divisors (117329480).

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

87355000 is a wasteful number, since it uses less digits than its factorization.

87355000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17497 (or 17478 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 87355000 is about 9346.3896773032. The cubic root of 87355000 is about 443.7066346567.

The spelling of 87355000 in words is "eighty-seven million, three hundred fifty-five thousand".