4992120 has 144 divisors (see below), whose sum is σ = 18939960. Its totient is φ = 1137024.

The previous prime is 4992109. The next prime is 4992133. The reversal of 4992120 is 212994.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17499 + ... + 17781.

Almost surely, 2^4992120 is an apocalyptic number.

4992120 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 4992120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9469980).

4992120 is an abundant number, since it is smaller than the sum of its proper divisors (13947840).

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

4992120 is a wasteful number, since it uses less digits than its factorization.

4992120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 4992120 is about 2234.3052611494. The cubic root of 4992120 is about 170.9077166988.

The spelling of 4992120 in words is "four million, nine hundred ninety-two thousand, one hundred twenty".