83461020 has 96 divisors (see below), whose sum is σ = 245887488. Its totient is φ = 21111552.

The previous prime is 83460991. The next prime is 83461033. The reversal of 83461020 is 2016438.

It is a happy number.

It is a congruent number.

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, 271707 + ... + 272013.

It is an arithmetic number, because the mean of its divisors is an integer number (2561328).

Almost surely, 2^83461020 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 83461020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122943744).

83461020 is an abundant number, since it is smaller than the sum of its proper divisors (162426468).

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

83461020 is a wasteful number, since it uses less digits than its factorization.

83461020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 83461020 is about 9135.7003015642. The cubic root of 83461020 is about 437.0132076782.

Adding to 83461020 its reverse (2016438), we get a palindrome (85477458).

The spelling of 83461020 in words is "eighty-three million, four hundred sixty-one thousand, twenty".