90542034 has 96 divisors (see below), whose sum is σ = 233041536. Its totient is φ = 25090560.

The previous prime is 90542033. The next prime is 90542077. The reversal of 90542034 is 43024509.

90542034 is a `hidden beast` number, since 90 + 542 + 0 + 34 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 90541989 and 90542007.

It is not an unprimeable number, because it can be changed into a prime (90542033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124179 + ... + 124905.

It is an arithmetic number, because the mean of its divisors is an integer number (2427516).

Almost surely, 2^90542034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90542034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116520768).

90542034 is an abundant number, since it is smaller than the sum of its proper divisors (142499502).

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

90542034 is a wasteful number, since it uses less digits than its factorization.

90542034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 90542034 is about 9515.3577967410. The cubic root of 90542034 is about 449.0383315241.

The spelling of 90542034 in words is "ninety million, five hundred forty-two thousand, thirty-four".