4890864 has 80 divisors (see below), whose sum is σ = 14106240. Its totient is φ = 1447680.

The previous prime is 4890859. The next prime is 4890869. The reversal of 4890864 is 4680984.

It is an interprime number because it is at equal distance from previous prime (4890859) and next prime (4890869).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4890869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31074 + ... + 31230.

It is an arithmetic number, because the mean of its divisors is an integer number (176328).

Almost surely, 2^4890864 is an apocalyptic number.

4890864 is a gapful number since it is divisible by the number (44) 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 4890864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7053120).

4890864 is an abundant number, since it is smaller than the sum of its proper divisors (9215376).

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

4890864 is a wasteful number, since it uses less digits than its factorization.

4890864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 4890864 is about 2211.5297872740. The cubic root of 4890864 is about 169.7442983994.

The spelling of 4890864 in words is "four million, eight hundred ninety thousand, eight hundred sixty-four".