67540512 has 144 divisors (see below), whose sum is σ = 201434688. Its totient is φ = 19768320.

The previous prime is 67540483. The next prime is 67540519. The reversal of 67540512 is 21504576.

It is a super-2 number, since 2×67540512² = 9123441522444288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 67540512.

It is not an unprimeable number, because it can be changed into a prime (67540519) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 373062 + ... + 373242.

It is an arithmetic number, because the mean of its divisors is an integer number (1398852).

Almost surely, 2^67540512 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 67540512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100717344).

67540512 is an abundant number, since it is smaller than the sum of its proper divisors (133894176).

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

67540512 is a wasteful number, since it uses less digits than its factorization.

67540512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 67540512 is about 8218.3034745621. The cubic root of 67540512 is about 407.2440828552.

The spelling of 67540512 in words is "sixty-seven million, five hundred forty thousand, five hundred twelve".