83412504 has 240 divisors, whose sum is σ = 283052880. Its totient is φ = 22861440.

The previous prime is 83412503. The next prime is 83412509. The reversal of 83412504 is 40521438.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83412503) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1174789 + ... + 1174859.

It is an arithmetic number, because the mean of its divisors is an integer number (1179387).

Almost surely, 2^83412504 is an apocalyptic number.

83412504 is a gapful number since it is divisible by the number (84) 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 83412504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141526440).

83412504 is an abundant number, since it is smaller than the sum of its proper divisors (199640376).

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

83412504 is a wasteful number, since it uses less digits than its factorization.

83412504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 83412504 is about 9133.0446183077. The cubic root of 83412504 is about 436.9285124820.

The spelling of 83412504 in words is "eighty-three million, four hundred twelve thousand, five hundred four".