83790144 has 168 divisors, whose sum is σ = 261518400. Its totient is φ = 25546752.

The previous prime is 83790121. The next prime is 83790169. The reversal of 83790144 is 44109738.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 83790099 and 83790108.

It is a congruent number.

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, 420957 + ... + 421155.

Almost surely, 2^83790144 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 83790144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130759200).

83790144 is an abundant number, since it is smaller than the sum of its proper divisors (177728256).

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

83790144 is a wasteful number, since it uses less digits than its factorization.

83790144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 83790144 is about 9153.6956471143. The cubic root of 83790144 is about 437.5869001801.

The spelling of 83790144 in words is "eighty-three million, seven hundred ninety thousand, one hundred forty-four".