87921900 has 216 divisors, whose sum is σ = 307105344. Its totient is φ = 20860800.

The previous prime is 87921871. The next prime is 87921901. The reversal of 87921900 is 912978.

It is a happy number.

It is a super-2 number, since 2×87921900² = 15460520999220000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (87921901) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 821647 + ... + 821753.

It is an arithmetic number, because the mean of its divisors is an integer number (1421784).

Almost surely, 2^87921900 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 87921900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153552672).

87921900 is an abundant number, since it is smaller than the sum of its proper divisors (219183444).

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

87921900 is a wasteful number, since it uses less digits than its factorization.

87921900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 87921900 is about 9376.6678516411. The cubic root of 87921900 is about 444.6643936786.

The spelling of 87921900 in words is "eighty-seven million, nine hundred twenty-one thousand, nine hundred".