87471900 has 90 divisors (see below), whose sum is σ = 283575600. Its totient is φ = 23323680.

The previous prime is 87471899. The next prime is 87471911. The reversal of 87471900 is 917478.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×87471900² = 15302666579220000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2701 + ... + 13499.

It is an arithmetic number, because the mean of its divisors is an integer number (3150840).

Almost surely, 2^87471900 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 87471900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141787800).

87471900 is an abundant number, since it is smaller than the sum of its proper divisors (196103700).

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

87471900 is a wasteful number, since it uses less digits than its factorization.

87471900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10825 (or 10809 counting only the distinct ones).

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

The square root of 87471900 is about 9352.6413381461. The cubic root of 87471900 is about 443.9044717784.

The spelling of 87471900 in words is "eighty-seven million, four hundred seventy-one thousand, nine hundred".