83653920 has 288 divisors, whose sum is σ = 335567232. Its totient is φ = 18579456.

The previous prime is 83653919. The next prime is 83653931. The reversal of 83653920 is 2935638.

It is a tau number, because it is divible by the number of its divisors (288).

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 433344 + ... + 433536.

It is an arithmetic number, because the mean of its divisors is an integer number (1165164).

Almost surely, 2^83653920 is an apocalyptic number.

83653920 is a gapful number since it is divisible by the number (80) 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 83653920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167783616).

83653920 is an abundant number, since it is smaller than the sum of its proper divisors (251913312).

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

83653920 is a wasteful number, since it uses less digits than its factorization.

83653920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 83653920 is about 9146.2516912668. The cubic root of 83653920 is about 437.3496321343.

It can be divided in two parts, 836 and 53920, that added together give a square (54756 = 234²).

The spelling of 83653920 in words is "eighty-three million, six hundred fifty-three thousand, nine hundred twenty".