90906678 has 64 divisors (see below), whose sum is σ = 214099200. Its totient is φ = 28512000.

The previous prime is 90906671. The next prime is 90906689. The reversal of 90906678 is 87660909.

It is a super-3 number, since 3×90906678³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90906671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257350 + ... + 257702.

It is an arithmetic number, because the mean of its divisors is an integer number (3345300).

Almost surely, 2^90906678 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90906678, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107049600).

90906678 is an abundant number, since it is smaller than the sum of its proper divisors (123192522).

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

90906678 is a wasteful number, since it uses less digits than its factorization.

90906678 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 90906678 is about 9534.4993575961. The cubic root of 90906678 is about 449.6403348343.

The spelling of 90906678 in words is "ninety million, nine hundred six thousand, six hundred seventy-eight".