4768100 has 18 divisors (see below), whose sum is σ = 10346994. Its totient is φ = 1907200.

The previous prime is 4768097. The next prime is 4768129. The reversal of 4768100 is 18674.

It can be written as a sum of positive squares in 3 ways, for example, as 33124 + 4734976 = 182^2 + 2176^2 .

It is a super-2 number, since 2×4768100² = 45469555220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4768100.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23741 + ... + 23940.

It is an arithmetic number, because the mean of its divisors is an integer number (574833).

Almost surely, 2^4768100 is an apocalyptic number.

It is an amenable number.

4768100 is an abundant number, since it is smaller than the sum of its proper divisors (5578894).

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

4768100 is a wasteful number, since it uses less digits than its factorization.

4768100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47695 (or 47688 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 4768100 is about 2183.5979483412. The cubic root of 4768100 is about 168.3120146405.

The spelling of 4768100 in words is "four million, seven hundred sixty-eight thousand, one hundred".