4968000 has 224 divisors, whose sum is σ = 19019520. Its totient is φ = 1267200.

The previous prime is 4967993. The next prime is 4968017. The reversal of 4968000 is 8694.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215989 + ... + 216011.

Almost surely, 2^4968000 is an apocalyptic number.

4968000 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 4968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9509760).

4968000 is an abundant number, since it is smaller than the sum of its proper divisors (14051520).

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

4968000 is a wasteful number, since it uses less digits than its factorization.

4968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4968000 is about 2228.9010745208. The cubic root of 4968000 is about 170.6320187911.

The spelling of 4968000 in words is "four million, nine hundred sixty-eight thousand".