67440464 has 90 divisors (see below), whose sum is σ = 164914110. Its totient is φ = 26627328.

The previous prime is 67440431. The next prime is 67440467. The reversal of 67440464 is 46404476.

It can be written as a sum of positive squares in 3 ways, for example, as 1960000 + 65480464 = 1400^2 + 8092^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67440467) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 132242 + ... + 132750.

It is an arithmetic number, because the mean of its divisors is an integer number (1832379).

Almost surely, 2^67440464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67440464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82457055).

67440464 is an abundant number, since it is smaller than the sum of its proper divisors (97473646).

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

67440464 is a wasteful number, since it uses less digits than its factorization.

67440464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 35.

The square root of 67440464 is about 8212.2143177099. The cubic root of 67440464 is about 407.0428994497.

The spelling of 67440464 in words is "sixty-seven million, four hundred forty thousand, four hundred sixty-four".