83417040 has 240 divisors, whose sum is σ = 332562048. Its totient is φ = 19035648.

The previous prime is 83417039. The next prime is 83417041. The reversal of 83417040 is 4071438.

It is an interprime number because it is at equal distance from previous prime (83417039) and next prime (83417041).

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 83416995 and 83417013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83417041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135774 + ... + 136386.

Almost surely, 2^83417040 is an apocalyptic number.

83417040 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 83417040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166281024).

83417040 is an abundant number, since it is smaller than the sum of its proper divisors (249145008).

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

83417040 is a wasteful number, since it uses less digits than its factorization.

83417040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 83417040 is about 9133.2929439496. The cubic root of 83417040 is about 436.9364324449.

Adding to 83417040 its reverse (4071438), we get a palindrome (87488478).

The spelling of 83417040 in words is "eighty-three million, four hundred seventeen thousand, forty".