4011648 has 64 divisors (see below), whose sum is σ = 11032320. Its totient is φ = 1290240.

The previous prime is 4011647. The next prime is 4011649. The reversal of 4011648 is 8461104.

It is an interprime number because it is at equal distance from previous prime (4011647) and next prime (4011649).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4011647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11736 + ... + 12072.

It is an arithmetic number, because the mean of its divisors is an integer number (172380).

Almost surely, 2^4011648 is an apocalyptic number.

4011648 is a gapful number since it is divisible by the number (48) 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 4011648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5516160).

4011648 is an abundant number, since it is smaller than the sum of its proper divisors (7020672).

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

4011648 is a wasteful number, since it uses less digits than its factorization.

4011648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 4011648 is about 2002.9098831450. The cubic root of 4011648 is about 158.8940396032.

The spelling of 4011648 in words is "four million, eleven thousand, six hundred forty-eight".