67563936 has 96 divisors (see below), whose sum is σ = 215006400. Its totient is φ = 20471040.

The previous prime is 67563919. The next prime is 67563953. The reversal of 67563936 is 63936576.

67563936 is a `hidden beast` number, since 6 + 7 + 5 + 639 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (67563919) and next prime (67563953).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 67563891 and 67563900.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5950 + ... + 13058.

It is an arithmetic number, because the mean of its divisors is an integer number (2239650).

Almost surely, 2^67563936 is an apocalyptic number.

67563936 is a gapful number since it is divisible by the number (66) 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 67563936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107503200).

67563936 is an abundant number, since it is smaller than the sum of its proper divisors (147442464).

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

67563936 is a wasteful number, since it uses less digits than its factorization.

67563936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7139 (or 7125 counting only the distinct ones).

The product of its digits is 612360, while the sum is 45.

The square root of 67563936 is about 8219.7284626683. The cubic root of 67563936 is about 407.2911567399.

The spelling of 67563936 in words is "sixty-seven million, five hundred sixty-three thousand, nine hundred thirty-six".