83414760 has 128 divisors (see below), whose sum is σ = 294053760. Its totient is φ = 18662400.

The previous prime is 83414741. The next prime is 83414791. The reversal of 83414760 is 6741438.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14730 + ... + 19590.

It is an arithmetic number, because the mean of its divisors is an integer number (2297295).

Almost surely, 2^83414760 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 83414760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147026880).

83414760 is an abundant number, since it is smaller than the sum of its proper divisors (210639000).

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

83414760 is a wasteful number, since it uses less digits than its factorization.

83414760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4899 (or 4895 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 83414760 is about 9133.1681250265. The cubic root of 83414760 is about 436.9324515471.

The spelling of 83414760 in words is "eighty-three million, four hundred fourteen thousand, seven hundred sixty".