83434890 has 128 divisors (see below), whose sum is σ = 262932480. Its totient is φ = 16416000.

The previous prime is 83434873. The next prime is 83434931. The reversal of 83434890 is 9843438.

It is a super-2 number, since 2×83434890² = 13922761738624200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42940 + ... + 44840.

It is an arithmetic number, because the mean of its divisors is an integer number (2054160).

Almost surely, 2^83434890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83434890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131466240).

83434890 is an abundant number, since it is smaller than the sum of its proper divisors (179497590).

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

83434890 is a wasteful number, since it uses less digits than its factorization.

83434890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1948.

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 83434890 is about 9134.2700857813. The cubic root of 83434890 is about 436.9675961779.

It can be divided in two parts, 834348 and 90, that added together give a palindrome (834438).

The spelling of 83434890 in words is "eighty-three million, four hundred thirty-four thousand, eight hundred ninety".