87619200 has 96 divisors (see below), whose sum is σ = 288627360. Its totient is φ = 23362560.

The previous prime is 87619193. The next prime is 87619201. The reversal of 87619200 is 291678.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (87619201) 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, 5037 + ... + 14163.

It is an arithmetic number, because the mean of its divisors is an integer number (3006535).

Almost surely, 2^87619200 is an apocalyptic number.

87619200 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 87619200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144313680).

87619200 is an abundant number, since it is smaller than the sum of its proper divisors (201008160).

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

87619200 is a wasteful number, since it uses less digits than its factorization.

87619200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9154 (or 9137 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 87619200 is about 9360.5128064653. The cubic root of 87619200 is about 444.1535058861.

The spelling of 87619200 in words is "eighty-seven million, six hundred nineteen thousand, two hundred".