61659408 has 160 divisors (see below), whose sum is σ = 183738240. Its totient is φ = 17694720.

The previous prime is 61659401. The next prime is 61659413. The reversal of 61659408 is 80495616.

It is not an unprimeable number, because it can be changed into a prime (61659401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 635616 + ... + 635712.

It is an arithmetic number, because the mean of its divisors is an integer number (1148364).

Almost surely, 2^61659408 is an apocalyptic number.

61659408 is a gapful number since it is divisible by the number (68) 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 61659408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91869120).

61659408 is an abundant number, since it is smaller than the sum of its proper divisors (122078832).

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

61659408 is a wasteful number, since it uses less digits than its factorization.

61659408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 61659408 is about 7852.3504761313. The cubic root of 61659408 is about 395.0630845139.

The spelling of 61659408 in words is "sixty-one million, six hundred fifty-nine thousand, four hundred eight".