4092960 has 48 divisors (see below), whose sum is σ = 12894336. Its totient is φ = 1091328.

The previous prime is 4092947. The next prime is 4092983. The reversal of 4092960 is 692904.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3784 + ... + 4743.

It is an arithmetic number, because the mean of its divisors is an integer number (268632).

Almost surely, 2^4092960 is an apocalyptic number.

4092960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4092960 is an abundant number, since it is smaller than the sum of its proper divisors (8801376).

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

4092960 is a wasteful number, since it uses less digits than its factorization.

4092960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8545 (or 8537 counting only the distinct ones).

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

The square root of 4092960 is about 2023.1065221584. The cubic root of 4092960 is about 159.9604068699.

The spelling of 4092960 in words is "four million, ninety-two thousand, nine hundred sixty".