90825120 has 72 divisors (see below), whose sum is σ = 309945636. Its totient is φ = 24219648.

The previous prime is 90825089. The next prime is 90825139. The reversal of 90825120 is 2152809.

It can be written as a sum of positive squares in 2 ways, for example, as 74857104 + 15968016 = 8652^2 + 3996^2 .

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, 30097 + ... + 32976.

Almost surely, 2^90825120 is an apocalyptic number.

90825120 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90825120 is an abundant number, since it is smaller than the sum of its proper divisors (219120516).

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

90825120 is a wasteful number, since it uses less digits than its factorization.

90825120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63094 (or 63083 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 90825120 is about 9530.2214035142. The cubic root of 90825120 is about 449.5058278889.

Adding to 90825120 its reverse (2152809), we get a palindrome (92977929).

The spelling of 90825120 in words is "ninety million, eight hundred twenty-five thousand, one hundred twenty".