2979648 has 84 divisors (see below), whose sum is σ = 9773920. Its totient is φ = 850176.

The previous prime is 2979623. The next prime is 2979649. The reversal of 2979648 is 8469792.

It is a happy number.

2979648 is nontrivially palindromic in base 15.

2979648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (84).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2979649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3663 + ... + 4401.

2^2979648 is an apocalyptic number.

2979648 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 2979648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4886960).

2979648 is an abundant number, since it is smaller than the sum of its proper divisors (6794272).

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

2979648 is a wasteful number, since it uses less digits than its factorization.

2979648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 751 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 2979648 is about 1726.1656930897. The cubic root of 2979648 is about 143.8980760228.

The spelling of 2979648 in words is "two million, nine hundred seventy-nine thousand, six hundred forty-eight".