4157664 has 96 divisors (see below), whose sum is σ = 13063680. Its totient is φ = 1132032.

The previous prime is 4157663. The next prime is 4157669. The reversal of 4157664 is 4667514.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×4157664³ (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4157663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15322 + ... + 15590.

It is an arithmetic number, because the mean of its divisors is an integer number (136080).

Almost surely, 2^4157664 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 4157664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6531840).

4157664 is an abundant number, since it is smaller than the sum of its proper divisors (8906016).

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

4157664 is a wasteful number, since it uses less digits than its factorization.

4157664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 304 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 4157664 is about 2039.0350659074. The cubic root of 4157664 is about 160.7989208115.

The spelling of 4157664 in words is "four million, one hundred fifty-seven thousand, six hundred sixty-four".