87742600 has 48 divisors (see below), whose sum is σ = 222552720. Its totient is φ = 31905600.

The previous prime is 87742541. The next prime is 87742601. The reversal of 87742600 is 624778.

It is not an unprimeable number, because it can be changed into a prime (87742601) 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, 17742 + ... + 22141.

It is an arithmetic number, because the mean of its divisors is an integer number (4636515).

Almost surely, 2^87742600 is an apocalyptic number.

It is an amenable number.

87742600 is an abundant number, since it is smaller than the sum of its proper divisors (134810120).

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

87742600 is a wasteful number, since it uses less digits than its factorization.

87742600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39910 (or 39901 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 87742600 is about 9367.1020064906. The cubic root of 87742600 is about 444.3619184735.

The spelling of 87742600 in words is "eighty-seven million, seven hundred forty-two thousand, six hundred".