90694890 has 256 divisors, whose sum is σ = 297561600. Its totient is φ = 19595520.

The previous prime is 90694889. The next prime is 90694897. The reversal of 90694890 is 9849609.

It is a super-2 number, since 2×90694890² = 16451126144224200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90694897) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3127396 + ... + 3127424.

It is an arithmetic number, because the mean of its divisors is an integer number (1162350).

Almost surely, 2^90694890 is an apocalyptic number.

90694890 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 90694890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148780800).

90694890 is an abundant number, since it is smaller than the sum of its proper divisors (206866710).

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

90694890 is a wasteful number, since it uses less digits than its factorization.

90694890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 90694890 is about 9523.3864775089. The cubic root of 90694890 is about 449.2908831498.

The spelling of 90694890 in words is "ninety million, six hundred ninety-four thousand, eight hundred ninety".