994129920 has 576 divisors, whose sum is σ = 4170216960. Its totient is φ = 214106112.

The previous prime is 994129909. The next prime is 994129931. The reversal of 994129920 is 29921499.

It is an interprime number because it is at equal distance from previous prime (994129909) and next prime (994129931).

It is a tau number, because it is divible by the number of its divisors (576).

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 47 ways as a sum of consecutive naturals, for example, 14837727 + ... + 14837793.

It is an arithmetic number, because the mean of its divisors is an integer number (7239960).

Almost surely, 2^994129920 is an apocalyptic number.

994129920 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 994129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2085108480).

994129920 is an abundant number, since it is smaller than the sum of its proper divisors (3176087040).

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

994129920 is a wasteful number, since it uses less digits than its factorization.

994129920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 994129920 is about 31529.8258796334. The cubic root of 994129920 is about 998.0394654830.

The spelling of 994129920 in words is "nine hundred ninety-four million, one hundred twenty-nine thousand, nine hundred twenty".