4626880 has 56 divisors (see below), whose sum is σ = 11612880. Its totient is φ = 1751040.

The previous prime is 4626877. The next prime is 4626889. The reversal of 4626880 is 886264.

4626880 = 123² + 124² + ... + 250².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4626889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5700 + ... + 6460.

Almost surely, 2^4626880 is an apocalyptic number.

4626880 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 4626880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5806440).

4626880 is an abundant number, since it is smaller than the sum of its proper divisors (6986000).

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

4626880 is a wasteful number, since it uses less digits than its factorization.

4626880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 4626880 is about 2151.0183634735. The cubic root of 4626880 is about 166.6336645767.

The spelling of 4626880 in words is "four million, six hundred twenty-six thousand, eight hundred eighty".