61355808 has 72 divisors (see below), whose sum is σ = 175685328. Its totient is φ = 20310912.

The previous prime is 61355779. The next prime is 61355837. The reversal of 61355808 is 80855316.

It is an interprime number because it is at equal distance from previous prime (61355779) and next prime (61355837).

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46291 + ... + 47597.

It is an arithmetic number, because the mean of its divisors is an integer number (2440074).

Almost surely, 2^61355808 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 61355808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87842664).

61355808 is an abundant number, since it is smaller than the sum of its proper divisors (114329520).

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

61355808 is a wasteful number, since it uses less digits than its factorization.

61355808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 61355808 is about 7832.9948295655. The cubic root of 61355808 is about 394.4136105031.

The spelling of 61355808 in words is "sixty-one million, three hundred fifty-five thousand, eight hundred eight".