949005680 has 80 divisors (see below), whose sum is σ = 2583209664. Its totient is φ = 317429760.

The previous prime is 949005677. The next prime is 949005689. The reversal of 949005680 is 86500949.

949005680 = 106² + 107² + ... + 1417².

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×949005680² = 1801223561344524800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (949005689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2294 + ... + 43626.

Almost surely, 2^949005680 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 949005680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291604832).

949005680 is an abundant number, since it is smaller than the sum of its proper divisors (1634203984).

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

949005680 is a wasteful number, since it uses less digits than its factorization.

949005680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41394 (or 41388 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 949005680 is about 30805.9357916620. The cubic root of 949005680 is about 982.7044829890.

The spelling of 949005680 in words is "nine hundred forty-nine million, five thousand, six hundred eighty".