48987600 has 60 divisors (see below), whose sum is σ = 156927456. Its totient is φ = 13063040.

The previous prime is 48987563. The next prime is 48987637. The reversal of 48987600 is 678984.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (48987563) and next prime (48987637).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19212 + ... + 21611.

Almost surely, 2^48987600 is an apocalyptic number.

48987600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48987600 is an abundant number, since it is smaller than the sum of its proper divisors (107939856).

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

48987600 is a wasteful number, since it uses less digits than its factorization.

48987600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40844 (or 40833 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 48987600 is about 6999.1142296722. The cubic root of 48987600 is about 365.8997007853.

The spelling of 48987600 in words is "forty-eight million, nine hundred eighty-seven thousand, six hundred".