4995760 has 80 divisors (see below), whose sum is σ = 14499072. Its totient is φ = 1555200.

The previous prime is 4995719. The next prime is 4995779. The reversal of 4995760 is 675994.

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 (40).

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, 5755 + ... + 6565.

Almost surely, 2^4995760 is an apocalyptic number.

4995760 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 4995760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7249536).

4995760 is an abundant number, since it is smaller than the sum of its proper divisors (9503312).

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

4995760 is a wasteful number, since it uses less digits than its factorization.

4995760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The square root of 4995760 is about 2235.1196835964. The cubic root of 4995760 is about 170.9492456784.

The spelling of 4995760 in words is "four million, nine hundred ninety-five thousand, seven hundred sixty".