87651600 has 60 divisors (see below), whose sum is σ = 280781136. Its totient is φ = 23373440.

The previous prime is 87651583. The next prime is 87651607. The reversal of 87651600 is 615678.

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (87651607) 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, 35322 + ... + 37721.

Almost surely, 2^87651600 is an apocalyptic number.

87651600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87651600 is an abundant number, since it is smaller than the sum of its proper divisors (193129536).

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

87651600 is a wasteful number, since it uses less digits than its factorization.

87651600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73064 (or 73053 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 87651600 is about 9362.2433209141. The cubic root of 87651600 is about 444.2082457915.

The spelling of 87651600 in words is "eighty-seven million, six hundred fifty-one thousand, six hundred".