94729680 has 120 divisors (see below), whose sum is σ = 325994760. Its totient is φ = 24637440.

The previous prime is 94729651. The next prime is 94729693. The reversal of 94729680 is 8692749.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 484416 + 94245264 = 696^2 + 9708^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27916 + ... + 31124.

It is an arithmetic number, because the mean of its divisors is an integer number (2716623).

It is a vampire number, since it can be written as 9627 ⋅ 9840 (with its own digits).

Almost surely, 2^94729680 is an apocalyptic number.

94729680 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 94729680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162997380).

94729680 is an abundant number, since it is smaller than the sum of its proper divisors (231265080).

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

94729680 is a wasteful number, since it uses less digits than its factorization.

94729680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3269 (or 3260 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 94729680 is about 9732.9173427087. The cubic root of 94729680 is about 455.8570650812.

It can be divided in two parts, 947296 and 80, that added together give a triangular number (947376 = T₁₃₇₆).

The spelling of 94729680 in words is "ninety-four million, seven hundred twenty-nine thousand, six hundred eighty".