2148672 has 84 divisors (see below), whose sum is σ = 6193536. Its totient is φ = 656640.

The previous prime is 2148661. The next prime is 2148677. The reversal of 2148672 is 2768412.

Its product of digits (5376) is a multiple of the sum of its prime factors (84).

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 (2148677) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69297 + ... + 69327.

2^2148672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2148672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3096768).

2148672 is an abundant number, since it is smaller than the sum of its proper divisors (4044864).

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

2148672 is a wasteful number, since it uses less digits than its factorization.

2148672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 55 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 2148672 is about 1465.8349156709. The cubic root of 2148672 is about 129.0397089461.

Subtracting from 2148672 its product of digits (5376), we obtain a square (2143296 = 1464²).

The spelling of 2148672 in words is "two million, one hundred forty-eight thousand, six hundred seventy-two".