33987648 has 28 divisors (see below), whose sum is σ = 89926160. Its totient is φ = 11329152.

The previous prime is 33987643. The next prime is 33987649. The reversal of 33987648 is 84678933.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 33987597 and 33987606.

It is not an unprimeable number, because it can be changed into a prime (33987643) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 88318 + ... + 88701.

Almost surely, 2^33987648 is an apocalyptic number.

It is an amenable number.

33987648 is an abundant number, since it is smaller than the sum of its proper divisors (55938512).

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

33987648 is a wasteful number, since it uses less digits than its factorization.

33987648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177034 (or 177024 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 33987648 is about 5829.8926233679. The cubic root of 33987648 is about 323.9219443123.

The spelling of 33987648 in words is "thirty-three million, nine hundred eighty-seven thousand, six hundred forty-eight".