4920960 has 128 divisors (see below), whose sum is σ = 17184960. Its totient is φ = 1187840.

The previous prime is 4920911. The next prime is 4920961. The reversal of 4920960 is 690294.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4920961) 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, 21004 + ... + 21236.

Almost surely, 2^4920960 is an apocalyptic number.

4920960 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 4920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8592480).

4920960 is an abundant number, since it is smaller than the sum of its proper divisors (12264000).

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

4920960 is a wasteful number, since it uses less digits than its factorization.

4920960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 4920960 is about 2218.3236914391. The cubic root of 4920960 is about 170.0917613029.

The spelling of 4920960 in words is "four million, nine hundred twenty thousand, nine hundred sixty".