67628970 has 96 divisors (see below), whose sum is σ = 188652672. Its totient is φ = 16765056.

The previous prime is 67628963. The next prime is 67628983. The reversal of 67628970 is 7982676.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76149 + ... + 77031.

It is an arithmetic number, because the mean of its divisors is an integer number (1965132).

Almost surely, 2^67628970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67628970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94326336).

67628970 is an abundant number, since it is smaller than the sum of its proper divisors (121023702).

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

67628970 is a wasteful number, since it uses less digits than its factorization.

67628970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 67628970 is about 8223.6834812631. The cubic root of 67628970 is about 407.4217948709.

It can be divided in two parts, 676 and 28970, that added together give a triangular number (29646 = T₂₄₃).

The spelling of 67628970 in words is "sixty-seven million, six hundred twenty-eight thousand, nine hundred seventy".