83625120 has 72 divisors (see below), whose sum is σ = 285375636. Its totient is φ = 22299648.

The previous prime is 83625119. The next prime is 83625131. The reversal of 83625120 is 2152638.

It can be written as a sum of positive squares in 2 ways, for example, as 73205136 + 10419984 = 8556^2 + 3228^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27597 + ... + 30476.

Almost surely, 2^83625120 is an apocalyptic number.

83625120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83625120 is an abundant number, since it is smaller than the sum of its proper divisors (201750516).

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

83625120 is a wasteful number, since it uses less digits than its factorization.

83625120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58094 (or 58083 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 83625120 is about 9144.6771402822. The cubic root of 83625120 is about 437.2994367773.

Adding to 83625120 its reverse (2152638), we get a palindrome (85777758).

The spelling of 83625120 in words is "eighty-three million, six hundred twenty-five thousand, one hundred twenty".