4607120 has 80 divisors (see below), whose sum is σ = 12915840. Its totient is φ = 1492992.

The previous prime is 4607093. The next prime is 4607167. The reversal of 4607120 is 217064.

4607120 = T₂₂₉ + T₂₃₀ + ... + T₃₄₀.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 4607092 and 4607101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10424 + ... + 10856.

It is an arithmetic number, because the mean of its divisors is an integer number (161448).

Almost surely, 2^4607120 is an apocalyptic number.

4607120 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 4607120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6457920).

4607120 is an abundant number, since it is smaller than the sum of its proper divisors (8308720).

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

4607120 is a wasteful number, since it uses less digits than its factorization.

4607120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 4607120 is about 2146.4202757149. The cubic root of 4607120 is about 166.3961121503.

The spelling of 4607120 in words is "four million, six hundred seven thousand, one hundred twenty".