83601408 has 96 divisors (see below), whose sum is σ = 243341280. Its totient is φ = 25313280.

The previous prime is 83601383. The next prime is 83601409. The reversal of 83601408 is 80410638.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (83601409) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 66966 + ... + 68202.

It is an arithmetic number, because the mean of its divisors is an integer number (2534805).

Almost surely, 2^83601408 is an apocalyptic number.

83601408 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 83601408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121670640).

83601408 is an abundant number, since it is smaller than the sum of its proper divisors (159739872).

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

83601408 is a wasteful number, since it uses less digits than its factorization.

83601408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 83601408 is about 9143.3805564463. The cubic root of 83601408 is about 437.2581006155.

The spelling of 83601408 in words is "eighty-three million, six hundred one thousand, four hundred eight".