946979880 has 288 divisors, whose sum is σ = 3635241120. Its totient is φ = 196775040.

The previous prime is 946979879. The next prime is 946979881. The reversal of 946979880 is 88979649.

It is an interprime number because it is at equal distance from previous prime (946979879) and next prime (946979881).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (946979881) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 86089075 + ... + 86089085.

It is an arithmetic number, because the mean of its divisors is an integer number (12622365).

Almost surely, 2^946979880 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 946979880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817620560).

946979880 is an abundant number, since it is smaller than the sum of its proper divisors (2688261240).

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

946979880 is an equidigital number, since it uses as much as digits as its factorization.

946979880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 60.

The square root of 946979880 is about 30773.0381990469. The cubic root of 946979880 is about 982.0047397396.

The spelling of 946979880 in words is "nine hundred forty-six million, nine hundred seventy-nine thousand, eight hundred eighty".