61386336 has 120 divisors (see below), whose sum is σ = 197039304. Its totient is φ = 18593280.

The previous prime is 61386329. The next prime is 61386343. The reversal of 61386336 is 63368316.

61386336 is a `hidden beast` number, since 6 + 13 + 8 + 633 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (61386329) and next prime (61386343).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 61386336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27436 + ... + 29588.

Almost surely, 2^61386336 is an apocalyptic number.

61386336 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 61386336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98519652).

61386336 is an abundant number, since it is smaller than the sum of its proper divisors (135652968).

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

61386336 is a wasteful number, since it uses less digits than its factorization.

61386336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186 (or 2169 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 61386336 is about 7834.9432671845. The cubic root of 61386336 is about 394.4790140494.

The spelling of 61386336 in words is "sixty-one million, three hundred eighty-six thousand, three hundred thirty-six".