87202368 has 84 divisors (see below), whose sum is σ = 272692368. Its totient is φ = 26423040.

The previous prime is 87202363. The next prime is 87202403. The reversal of 87202368 is 86320278.

It is a happy number.

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 (87202363) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 546 + ... + 13217.

Almost surely, 2^87202368 is an apocalyptic number.

87202368 is a gapful number since it is divisible by the number (88) 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 87202368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136346184).

87202368 is an abundant number, since it is smaller than the sum of its proper divisors (185490000).

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

87202368 is a wasteful number, since it uses less digits than its factorization.

87202368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13792 (or 13779 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 87202368 is about 9338.2208155515. The cubic root of 87202368 is about 443.4480602071.

The spelling of 87202368 in words is "eighty-seven million, two hundred two thousand, three hundred sixty-eight".