83751360 has 336 divisors, whose sum is σ = 337279488. Its totient is φ = 17233920.

The previous prime is 83751359. The next prime is 83751389. The reversal of 83751360 is 6315738.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 813069 + ... + 813171.

It is an arithmetic number, because the mean of its divisors is an integer number (1003808).

Almost surely, 2^83751360 is an apocalyptic number.

83751360 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 83751360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168639744).

83751360 is an abundant number, since it is smaller than the sum of its proper divisors (253528128).

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

83751360 is a wasteful number, since it uses less digits than its factorization.

83751360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 83751360 is about 9151.5769132975. The cubic root of 83751360 is about 437.5193743801.

The spelling of 83751360 in words is "eighty-three million, seven hundred fifty-one thousand, three hundred sixty".