4992064 has 56 divisors (see below), whose sum is σ = 12362688. Its totient is φ = 1943040.

The previous prime is 4992061. The next prime is 4992073. The reversal of 4992064 is 4602994.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (4992061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4422 + ... + 5434.

Almost surely, 2^4992064 is an apocalyptic number.

4992064 is a gapful number since it is divisible by the number (44) 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 4992064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6181344).

4992064 is an abundant number, since it is smaller than the sum of its proper divisors (7370624).

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

4992064 is a wasteful number, since it uses less digits than its factorization.

4992064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 4992064 is about 2234.2927292546. The cubic root of 4992064 is about 170.9070776338.

The spelling of 4992064 in words is "four million, nine hundred ninety-two thousand, sixty-four".