96705180 has 324 divisors, whose sum is σ = 368097912. Its totient is φ = 20367360.

The previous prime is 96705173. The next prime is 96705181. The reversal of 96705180 is 8150769.

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 (96705181) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5688532 + ... + 5688548.

Almost surely, 2^96705180 is an apocalyptic number.

96705180 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 96705180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184048956).

96705180 is an abundant number, since it is smaller than the sum of its proper divisors (271392732).

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

96705180 is a wasteful number, since it uses less digits than its factorization.

96705180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 96705180 is about 9833.8791938888. The cubic root of 96705180 is about 459.0041151894.

The spelling of 96705180 in words is "ninety-six million, seven hundred five thousand, one hundred eighty".