61358616 has 72 divisors (see below), whose sum is σ = 182686140. Its totient is φ = 18590880.

The previous prime is 61358603. The next prime is 61358621. The reversal of 61358616 is 61685316.

It is a happy number.

61358616 is a `hidden beast` number, since 6 + 1 + 35 + 8 + 616 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5191 + ... + 12233.

Almost surely, 2^61358616 is an apocalyptic number.

61358616 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 61358616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91343070).

61358616 is an abundant number, since it is smaller than the sum of its proper divisors (121327524).

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

61358616 is a wasteful number, since it uses less digits than its factorization.

61358616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7077 (or 7059 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 61358616 is about 7833.1740693029. The cubic root of 61358616 is about 394.4196273012.

The spelling of 61358616 in words is "sixty-one million, three hundred fifty-eight thousand, six hundred sixteen".