67464000 has 168 divisors, whose sum is σ = 241587528. Its totient is φ = 17971200.

The previous prime is 67463951. The next prime is 67464011. The reversal of 67464000 is 46476.

It can be written as a sum of positive squares in 4 ways, for example, as 14930496 + 52533504 = 3864^2 + 7248^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71532 + ... + 72468.

It is an arithmetic number, because the mean of its divisors is an integer number (1438021).

Almost surely, 2^67464000 is an apocalyptic number.

67464000 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 67464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120793764).

67464000 is an abundant number, since it is smaller than the sum of its proper divisors (174123528).

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

67464000 is a wasteful number, since it uses less digits than its factorization.

67464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 67464000 is about 8213.6471801508. The cubic root of 67464000 is about 407.0902451473.

The spelling of 67464000 in words is "sixty-seven million, four hundred sixty-four thousand".