83461520 has 40 divisors (see below), whose sum is σ = 194451840. Its totient is φ = 33315200.

The previous prime is 83461501. The next prime is 83461523. The reversal of 83461520 is 2516438.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (83461523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56795 + ... + 58245.

It is an arithmetic number, because the mean of its divisors is an integer number (4861296).

Almost surely, 2^83461520 is an apocalyptic number.

83461520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83461520 is an abundant number, since it is smaller than the sum of its proper divisors (110990320).

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

83461520 is a wasteful number, since it uses less digits than its factorization.

83461520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2183 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 83461520 is about 9135.7276666941. The cubic root of 83461520 is about 437.0140803657.

Adding to 83461520 its reverse (2516438), we get a palindrome (85977958).

The spelling of 83461520 in words is "eighty-three million, four hundred sixty-one thousand, five hundred twenty".