83480826 has 64 divisors (see below), whose sum is σ = 197769600. Its totient is φ = 23159040.

The previous prime is 83480807. The next prime is 83480827. The reversal of 83480826 is 62808438.

83480826 = 59² + 60² + ... + 630².

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (83480827) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127516 + ... + 128168.

It is an arithmetic number, because the mean of its divisors is an integer number (3090150).

Almost surely, 2^83480826 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83480826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98884800).

83480826 is an abundant number, since it is smaller than the sum of its proper divisors (114288774).

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

83480826 is a wasteful number, since it uses less digits than its factorization.

83480826 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831.

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 83480826 is about 9136.7842264114. The cubic root of 83480826 is about 437.0477739105.

The spelling of 83480826 in words is "eighty-three million, four hundred eighty thousand, eight hundred twenty-six".