6268416 has 160 divisors (see below), whose sum is σ = 21212928. Its totient is φ = 1597440.

The previous prime is 6268403. The next prime is 6268433. The reversal of 6268416 is 6148626.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118246 + ... + 118298.

Almost surely, 2^6268416 is an apocalyptic number.

6268416 is a gapful number since it is divisible by the number (66) 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 6268416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10606464).

6268416 is an abundant number, since it is smaller than the sum of its proper divisors (14944512).

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

6268416 is a wasteful number, since it uses less digits than its factorization.

6268416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 76 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 6268416 is about 2503.6804907975. The cubic root of 6268416 is about 184.3823178557.

The spelling of 6268416 in words is "six million, two hundred sixty-eight thousand, four hundred sixteen".