83416608 has 192 divisors, whose sum is σ = 271434240. Its totient is φ = 24710400.

The previous prime is 83416583. The next prime is 83416633. The reversal of 83416608 is 80661438.

It is a happy number.

83416608 is a `hidden beast` number, since 8 + 3 + 41 + 6 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (83416583) and next prime (83416633).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 636703 + ... + 636833.

It is an arithmetic number, because the mean of its divisors is an integer number (1413720).

Almost surely, 2^83416608 is an apocalyptic number.

83416608 is a gapful number since it is divisible by the number (88) 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 83416608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135717120).

83416608 is an abundant number, since it is smaller than the sum of its proper divisors (188017632).

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

83416608 is a wasteful number, since it uses less digits than its factorization.

83416608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 83416608 is about 9133.2692941794. The cubic root of 83416608 is about 436.9356781751.

The spelling of 83416608 in words is "eighty-three million, four hundred sixteen thousand, six hundred eight".