67500000 has 192 divisors, whose sum is σ = 246093120. Its totient is φ = 18000000.

The previous prime is 67499969. The next prime is 67500007. The reversal of 67500000 is 576.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67500007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 13499998 + ... + 13500002.

It is an arithmetic number, because the mean of its divisors is an integer number (1281735).

Almost surely, 2^67500000 is an apocalyptic number.

67500000 is a gapful number since it is divisible by the number (60) 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 67500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123046560).

67500000 is an abundant number, since it is smaller than the sum of its proper divisors (178593120).

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

67500000 is an frugal number, since it uses more digits than its factorization.

67500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 67500000 is about 8215.8383625775. The cubic root of 67500000 is about 407.1626424892.

Adding to 67500000 its reverse (576), we get a palindrome (67500576).

The spelling of 67500000 in words is "sixty-seven million, five hundred thousand".