4995120 has 80 divisors (see below), whose sum is σ = 16686432. Its totient is φ = 1228800.

The previous prime is 4995101. The next prime is 4995139. The reversal of 4995120 is 215994.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4995101) and next prime (4995139).

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 2320 + ... + 3920.

Almost surely, 2^4995120 is an apocalyptic number.

4995120 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 4995120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8343216).

4995120 is an abundant number, since it is smaller than the sum of its proper divisors (11691312).

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

4995120 is a wasteful number, since it uses less digits than its factorization.

4995120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 4995120 is about 2234.9765099437. The cubic root of 4995120 is about 170.9419453417.

It can be divided in two parts, 4995 and 120, that added together give a palindrome (5115).

The spelling of 4995120 in words is "four million, nine hundred ninety-five thousand, one hundred twenty".