20115648 has 112 divisors (see below), whose sum is σ = 67624960. Its totient is φ = 5743872.

The previous prime is 20115619. The next prime is 20115653. The reversal of 20115648 is 84651102.

20115648 is a `hidden beast` number, since 2 + 0 + 1 + 15 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×20115648³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11265 + ... + 12927.

Almost surely, 2^20115648 is an apocalyptic number.

20115648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20115648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33812480).

20115648 is an abundant number, since it is smaller than the sum of its proper divisors (47509312).

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

20115648 is a wasteful number, since it uses less digits than its factorization.

20115648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 20115648 is about 4485.0471569427. The cubic root of 20115648 is about 271.9639513933.

The spelling of 20115648 in words is "twenty million, one hundred fifteen thousand, six hundred forty-eight".