90384735 has 32 divisors (see below), whose sum is σ = 170979840. Its totient is φ = 39892608.

The previous prime is 90384709. The next prime is 90384761. The reversal of 90384735 is 53748309.

It is an interprime number because it is at equal distance from previous prime (90384709) and next prime (90384761).

It is not a de Polignac number, because 90384735 - 2⁷ = 90384607 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 90384693 and 90384702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11797 + ... + 17886.

It is an arithmetic number, because the mean of its divisors is an integer number (5343120).

Almost surely, 2^90384735 is an apocalyptic number.

90384735 is a deficient number, since it is larger than the sum of its proper divisors (80595105).

90384735 is a wasteful number, since it uses less digits than its factorization.

90384735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29727.

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 90384735 is about 9507.0886710917. The cubic root of 90384735 is about 448.7781421560.

It can be divided in two parts, 90384 and 735, that added together give a palindrome (91119).

The spelling of 90384735 in words is "ninety million, three hundred eighty-four thousand, seven hundred thirty-five".