67985190 has 128 divisors (see below), whose sum is σ = 223211520. Its totient is φ = 14338944.

The previous prime is 67985179. The next prime is 67985209. The reversal of 67985190 is 9158976.

It is a super-2 number, since 2×67985190² = 9243972118672200, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23187 + ... + 25953.

It is an arithmetic number, because the mean of its divisors is an integer number (1743840).

Almost surely, 2^67985190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67985190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111605760).

67985190 is an abundant number, since it is smaller than the sum of its proper divisors (155226330).

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

67985190 is a wasteful number, since it uses less digits than its factorization.

67985190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2803 (or 2797 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 67985190 is about 8245.3132141842. The cubic root of 67985190 is about 408.1358760245.

The spelling of 67985190 in words is "sixty-seven million, nine hundred eighty-five thousand, one hundred ninety".