4698144 has 72 divisors (see below), whose sum is σ = 14584752. Its totient is φ = 1422720.

The previous prime is 4698121. The next prime is 4698151. The reversal of 4698144 is 4418964.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×4698144³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 4698099 and 4698108.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2427 + ... + 3909.

It is an arithmetic number, because the mean of its divisors is an integer number (202566).

Almost surely, 2^4698144 is an apocalyptic number.

4698144 is a gapful number since it is divisible by the number (44) 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 4698144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7292376).

4698144 is an abundant number, since it is smaller than the sum of its proper divisors (9886608).

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

4698144 is a wasteful number, since it uses less digits than its factorization.

4698144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 1499 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 4698144 is about 2167.5202421200. The cubic root of 4698144 is about 167.4848163262.

The spelling of 4698144 in words is "four million, six hundred ninety-eight thousand, one hundred forty-four".