90629760 has 128 divisors (see below), whose sum is σ = 311189760. Its totient is φ = 22302720.

The previous prime is 90629743. The next prime is 90629779. The reversal of 90629760 is 6792609.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (39) 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 (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23145 + ... + 26775.

It is an arithmetic number, because the mean of its divisors is an integer number (2431170).

Almost surely, 2^90629760 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 90629760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155594880).

90629760 is an abundant number, since it is smaller than the sum of its proper divisors (220560000).

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

90629760 is a wasteful number, since it uses less digits than its factorization.

90629760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3666 (or 3654 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 90629760 is about 9519.9663864953. The cubic root of 90629760 is about 449.1833088324.

The spelling of 90629760 in words is "ninety million, six hundred twenty-nine thousand, seven hundred sixty".