67590464 has 28 divisors (see below), whose sum is σ = 135369300. Its totient is φ = 33481728.

The previous prime is 67590463. The next prime is 67590511. The reversal of 67590464 is 46409576.

It can be written as a sum of positive squares in 2 ways, for example, as 42510400 + 25080064 = 6520^2 + 5008^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67590463) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2132 + ... + 11820.

Almost surely, 2^67590464 is an apocalyptic number.

67590464 is a gapful number since it is divisible by the number (64) 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 67590464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67684650).

67590464 is an abundant number, since it is smaller than the sum of its proper divisors (67778836).

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

67590464 is a wasteful number, since it uses less digits than its factorization.

67590464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9810 (or 9800 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The square root of 67590464 is about 8221.3419829125. The cubic root of 67590464 is about 407.3444554209.

The spelling of 67590464 in words is "sixty-seven million, five hundred ninety thousand, four hundred sixty-four".