96629760 has 220 divisors, whose sum is σ = 347752548. Its totient is φ = 25657344.

The previous prime is 96629747. The next prime is 96629761. The reversal of 96629760 is 6792669.

It can be written as a sum of positive squares in 2 ways, for example, as 26873856 + 69755904 = 5184^2 + 8352^2 .

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 (96629761) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 414604 + ... + 414836.

Almost surely, 2^96629760 is an apocalyptic number.

96629760 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96629760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173876274).

96629760 is an abundant number, since it is smaller than the sum of its proper divisors (251122788).

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

96629760 is a wasteful number, since it uses less digits than its factorization.

96629760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 96629760 is about 9830.0437435446. The cubic root of 96629760 is about 458.8847589710.

The spelling of 96629760 in words is "ninety-six million, six hundred twenty-nine thousand, seven hundred sixty".