67628736 has 112 divisors (see below), whose sum is σ = 227258880. Its totient is φ = 19319040.

The previous prime is 67628731. The next prime is 67628741. The reversal of 67628736 is 63782676.

It is an interprime number because it is at equal distance from previous prime (67628731) and next prime (67628741).

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a junction number, because it is equal to n+sod(n) for n = 67628691 and 67628700.

It is not an unprimeable number, because it can be changed into a prime (67628731) 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, 9301 + ... + 14891.

Almost surely, 2^67628736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67628736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113629440).

67628736 is an abundant number, since it is smaller than the sum of its proper divisors (159630144).

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

67628736 is a wasteful number, since it uses less digits than its factorization.

67628736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5619 (or 5603 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 67628736 is about 8223.6692540496. The cubic root of 67628736 is about 407.4213249697.

The spelling of 67628736 in words is "sixty-seven million, six hundred twenty-eight thousand, seven hundred thirty-six".