67621536 has 72 divisors (see below), whose sum is σ = 195066144. Its totient is φ = 22216320.

The previous prime is 67621523. The next prime is 67621537. The reversal of 67621536 is 63512676.

67621536 is a `hidden beast` number, since 67 + 62 + 1 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×67621536³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 67621536.

It is not an unprimeable number, because it can be changed into a prime (67621537) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18795 + ... + 22101.

It is an arithmetic number, because the mean of its divisors is an integer number (2709252).

Almost surely, 2^67621536 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 67621536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97533072).

67621536 is an abundant number, since it is smaller than the sum of its proper divisors (127444608).

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

67621536 is a wasteful number, since it uses less digits than its factorization.

67621536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3394 (or 3383 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 67621536 is about 8223.2314816014. The cubic root of 67621536 is about 407.4068659403.

The spelling of 67621536 in words is "sixty-seven million, six hundred twenty-one thousand, five hundred thirty-six".