61379136 has 168 divisors, whose sum is σ = 216716864. Its totient is φ = 16174080.

The previous prime is 61379119. The next prime is 61379137. The reversal of 61379136 is 63197316.

61379136 is a `hidden beast` number, since 613 + 7 + 9 + 1 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×61379136² = 7534796672212992, which contains 22 as substring.

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 61379136.

It is not an unprimeable number, because it can be changed into a prime (61379137) 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, 51831 + ... + 53001.

Almost surely, 2^61379136 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 61379136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108358432).

61379136 is an abundant number, since it is smaller than the sum of its proper divisors (155337728).

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

61379136 is a wasteful number, since it uses less digits than its factorization.

61379136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1196 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 61379136 is about 7834.4837736765. The cubic root of 61379136 is about 394.4635906390.

The spelling of 61379136 in words is "sixty-one million, three hundred seventy-nine thousand, one hundred thirty-six".