4615920 has 80 divisors (see below), whose sum is σ = 15906720. Its totient is φ = 1230336.

The previous prime is 4615867. The next prime is 4615927. The reversal of 4615920 is 295164.

4615920 is nontrivially palindromic in base 14.

4615920 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 (27).

It is a zygodrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4615927) 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, 1092 + ... + 3228.

It is an arithmetic number, because the mean of its divisors is an integer number (198834).

Almost surely, 2^4615920 is an apocalyptic number.

4615920 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 4615920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7953360).

4615920 is an abundant number, since it is smaller than the sum of its proper divisors (11290800).

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

4615920 is a wasteful number, since it uses less digits than its factorization.

4615920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2159 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 4615920 is about 2148.4692224931. The cubic root of 4615920 is about 166.5019884512.

The spelling of 4615920 in words is "four million, six hundred fifteen thousand, nine hundred twenty".