87648100 has 18 divisors (see below), whose sum is σ = 190196594. Its totient is φ = 35059200.

The previous prime is 87648097. The next prime is 87648109. The reversal of 87648100 is 184678.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 487204 + 87160896 = 698^2 + 9336^2 .

It is a super-2 number, since 2×87648100² = 15364378867220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (87648109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 438141 + ... + 438340.

Almost surely, 2^87648100 is an apocalyptic number.

It is an amenable number.

87648100 is an abundant number, since it is smaller than the sum of its proper divisors (102548494).

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

87648100 is a wasteful number, since it uses less digits than its factorization.

87648100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876495 (or 876488 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 87648100 is about 9362.0563980356. The cubic root of 87648100 is about 444.2023331801.

The spelling of 87648100 in words is "eighty-seven million, six hundred forty-eight thousand, one hundred".