104628576 has 72 divisors (see below), whose sum is σ = 297448200. Its totient is φ = 32188416.

The previous prime is 104628553. The next prime is 104628593. The reversal of 104628576 is 675826401.

104628576 = T₄₉₁ + T₄₉₂ + ... + T₉₀₆.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13000 + ... + 19448.

It is an arithmetic number, because the mean of its divisors is an integer number (4131225).

Almost surely, 2^104628576 is an apocalyptic number.

104628576 is a gapful number since it is divisible by the number (16) 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 104628576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148724100).

104628576 is an abundant number, since it is smaller than the sum of its proper divisors (192819624).

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

104628576 is a wasteful number, since it uses less digits than its factorization.

104628576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6488 (or 6467 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 104628576 is about 10228.8110746069. The cubic root of 104628576 is about 471.2124662932.

The spelling of 104628576 in words is "one hundred four million, six hundred twenty-eight thousand, five hundred seventy-six".