90211968 has 320 divisors, whose sum is σ = 337677120. Its totient is φ = 23224320.

The previous prime is 90211967. The next prime is 90211969. The reversal of 90211968 is 86911209.

It is an interprime number because it is at equal distance from previous prime (90211967) and next prime (90211969).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90211967) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 798280 + ... + 798392.

It is an arithmetic number, because the mean of its divisors is an integer number (1055241).

Almost surely, 2^90211968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90211968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168838560).

90211968 is an abundant number, since it is smaller than the sum of its proper divisors (247465152).

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

90211968 is a wasteful number, since it uses less digits than its factorization.

90211968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 90211968 is about 9497.9981048640. The cubic root of 90211968 is about 448.4920189629.

Adding to 90211968 its sum of digits (36), we get a square (90212004 = 9498²).

The spelling of 90211968 in words is "ninety million, two hundred eleven thousand, nine hundred sixty-eight".