61416208 has 120 divisors (see below), whose sum is σ = 151180800. Its totient is φ = 24131520.

The previous prime is 61416193. The next prime is 61416217. The reversal of 61416208 is 80261416.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1981153 + ... + 1981183.

It is an arithmetic number, because the mean of its divisors is an integer number (1259840).

Almost surely, 2^61416208 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 61416208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75590400).

61416208 is an abundant number, since it is smaller than the sum of its proper divisors (89764592).

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

61416208 is a wasteful number, since it uses less digits than its factorization.

61416208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 61416208 is about 7836.8493669331. The cubic root of 61416208 is about 394.5429911870.

The spelling of 61416208 in words is "sixty-one million, four hundred sixteen thousand, two hundred eight".