83005440 has 208 divisors, whose sum is σ = 305098368. Its totient is φ = 18874368.

The previous prime is 83005427. The next prime is 83005457. The reversal of 83005440 is 4450038.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 83005440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 429984 + ... + 430176.

Almost surely, 2^83005440 is an apocalyptic number.

83005440 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 83005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152549184).

83005440 is an abundant number, since it is smaller than the sum of its proper divisors (222092928).

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

83005440 is a wasteful number, since it uses less digits than its factorization.

83005440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 83005440 is about 9110.7321330396. The cubic root of 83005440 is about 436.2165969230.

Adding to 83005440 its reverse (4450038), we get a palindrome (87455478).

The spelling of 83005440 in words is "eighty-three million, five thousand, four hundred forty".