4965120 has 108 divisors (see below), whose sum is σ = 17218656. Its totient is φ = 1320960.

The previous prime is 4965091. The next prime is 4965131. The reversal of 4965120 is 215694.

4965120 is a `hidden beast` number, since 4 + 9 + 651 + 2 + 0 = 666.

It is a super-2 number, since 2×4965120² = 49304833228800, which contains 22 as substring.

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, 11305 + ... + 11735.

It is an arithmetic number, because the mean of its divisors is an integer number (159432).

Almost surely, 2^4965120 is an apocalyptic number.

4965120 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 4965120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8609328).

4965120 is an abundant number, since it is smaller than the sum of its proper divisors (12253536).

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

4965120 is a wasteful number, since it uses less digits than its factorization.

4965120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 441 counting only the distinct ones).

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

The square root of 4965120 is about 2228.2549225796. The cubic root of 4965120 is about 170.5990400468.

The spelling of 4965120 in words is "four million, nine hundred sixty-five thousand, one hundred twenty".