87455200 has 216 divisors, whose sum is σ = 261826992. Its totient is φ = 28385280.

The previous prime is 87455197. The next prime is 87455219. The reversal of 87455200 is 255478.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 901552 + ... + 901648.

It is an arithmetic number, because the mean of its divisors is an integer number (1212162).

Almost surely, 2^87455200 is an apocalyptic number.

87455200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87455200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130913496).

87455200 is an abundant number, since it is smaller than the sum of its proper divisors (174371792).

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

87455200 is a wasteful number, since it uses less digits than its factorization.

87455200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 31.

The square root of 87455200 is about 9351.7484996123. The cubic root of 87455200 is about 443.8762201284.

The spelling of 87455200 in words is "eighty-seven million, four hundred fifty-five thousand, two hundred".