4674560 has 88 divisors (see below), whose sum is σ = 12380256. Its totient is φ = 1679360.

The previous prime is 4674557. The next prime is 4674563. The reversal of 4674560 is 654764.

It is an interprime number because it is at equal distance from previous prime (4674557) and next prime (4674563).

It is a tau number, because it is divible by the number of its divisors (88).

It is a super-2 number, since 2×4674560² = 43703022387200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4674563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56279 + ... + 56361.

Almost surely, 2^4674560 is an apocalyptic number.

4674560 is a gapful number since it is divisible by the number (40) 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 4674560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6190128).

4674560 is an abundant number, since it is smaller than the sum of its proper divisors (7705696).

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

4674560 is a wasteful number, since it uses less digits than its factorization.

4674560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 4674560 is about 2162.0730792459. The cubic root of 4674560 is about 167.2040962650.

The spelling of 4674560 in words is "four million, six hundred seventy-four thousand, five hundred sixty".