67520628 has 90 divisors (see below), whose sum is σ = 205378866. Its totient is φ = 19287072.

The previous prime is 67520627. The next prime is 67520639. The reversal of 67520628 is 82602576.

67520628 is a `hidden beast` number, since 6 + 7 + 5 + 20 + 628 = 666.

It can be written as a sum of positive squares in only one way, i.e., 44595684 + 22924944 = 6678^2 + 4788^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 67520592 and 67520601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67520627) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 13750 + ... + 18002.

Almost surely, 2^67520628 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 67520628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102689433).

67520628 is an abundant number, since it is smaller than the sum of its proper divisors (137858238).

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

67520628 is a wasteful number, since it uses less digits than its factorization.

67520628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4283 (or 4265 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 67520628 is about 8217.0936467829. The cubic root of 67520628 is about 407.2041145661.

The spelling of 67520628 in words is "sixty-seven million, five hundred twenty thousand, six hundred twenty-eight".