90468633 has 16 divisors (see below), whose sum is σ = 131072000. Its totient is φ = 55293840.

The previous prime is 90468619. The next prime is 90468649. The reversal of 90468633 is 33686409.

It is not a de Polignac number, because 90468633 - 2⁴ = 90468617 is a prime.

It is the 9512-nd Hogben number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 90468591 and 90468600.

It is not an unprimeable number, because it can be changed into a prime (90468613) by changing a digit.

It is a nontrivial repunit in base 9511.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23833 + ... + 27366.

It is an arithmetic number, because the mean of its divisors is an integer number (8192000).

Almost surely, 2^90468633 is an apocalyptic number.

90468633 is a gapful number since it is divisible by the number (93) formed by its first and last digit.

It is an amenable number.

90468633 is a deficient number, since it is larger than the sum of its proper divisors (40603367).

90468633 is a wasteful number, since it uses less digits than its factorization.

90468633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51252.

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 90468633 is about 9511.5000394260. The cubic root of 90468633 is about 448.9169559530.

The spelling of 90468633 in words is "ninety million, four hundred sixty-eight thousand, six hundred thirty-three".