90129730 has 32 divisors (see below), whose sum is σ = 171460800. Its totient is φ = 34016832.

The previous prime is 90129707. The next prime is 90129731. The reversal of 90129730 is 3792109.

90129730 = 285² + 286² + ... + 664².

It is a junction number, because it is equal to n+sod(n) for n = 90129692 and 90129701.

It is not an unprimeable number, because it can be changed into a prime (90129731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54861 + ... + 56479.

It is an arithmetic number, because the mean of its divisors is an integer number (5358150).

Almost surely, 2^90129730 is an apocalyptic number.

90129730 is a deficient number, since it is larger than the sum of its proper divisors (81331070).

90129730 is a wasteful number, since it uses less digits than its factorization.

90129730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938.

The product of its (nonzero) digits is 3402, while the sum is 31.

The square root of 90129730 is about 9493.6678897042. The cubic root of 90129730 is about 448.3556944789.

The spelling of 90129730 in words is "ninety million, one hundred twenty-nine thousand, seven hundred thirty".