90772409 has 16 divisors (see below), whose sum is σ = 112210560. Its totient is φ = 71504640.

The previous prime is 90772399. The next prime is 90772459. The reversal of 90772409 is 90427709.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 90772409 - 2¹⁶ = 90706873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90772459) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19862 + ... + 24000.

It is an arithmetic number, because the mean of its divisors is an integer number (7013160).

Almost surely, 2^90772409 is an apocalyptic number.

It is an amenable number.

90772409 is a deficient number, since it is larger than the sum of its proper divisors (21438151).

90772409 is a wasteful number, since it uses less digits than its factorization.

90772409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4400.

The product of its (nonzero) digits is 31752, while the sum is 38.

The square root of 90772409 is about 9527.4555365008. The cubic root of 90772409 is about 449.4188531003.

The spelling of 90772409 in words is "ninety million, seven hundred seventy-two thousand, four hundred nine".