4148672 has 56 divisors (see below), whose sum is σ = 9217152. Its totient is φ = 1836800.

The previous prime is 4148659. The next prime is 4148687. The reversal of 4148672 is 2768414.

It is a super-2 number, since 2×4148672² = 34422958727168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49943 + ... + 50025.

It is an arithmetic number, because the mean of its divisors is an integer number (164592).

Almost surely, 2^4148672 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 4148672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4608576).

4148672 is an abundant number, since it is smaller than the sum of its proper divisors (5068480).

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

4148672 is a wasteful number, since it uses less digits than its factorization.

4148672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 167 counting only the distinct ones).

The product of its digits is 10752, while the sum is 32.

The square root of 4148672 is about 2036.8289078860. The cubic root of 4148672 is about 160.6829143611.

Subtracting from 4148672 its sum of digits (32), we obtain a triangular number (4148640 = T₂₈₈₀).

The spelling of 4148672 in words is "four million, one hundred forty-eight thousand, six hundred seventy-two".