967472640 has 160 divisors (see below), whose sum is σ = 3436788960. Its totient is φ = 257974272.

The previous prime is 967472617. The next prime is 967472641. The reversal of 967472640 is 46274769.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (967472641) 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, 62122 + ... + 76118.

It is an arithmetic number, because the mean of its divisors is an integer number (21479931).

Almost surely, 2^967472640 is an apocalyptic number.

967472640 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 967472640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718394480).

967472640 is an abundant number, since it is smaller than the sum of its proper divisors (2469316320).

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

967472640 is a wasteful number, since it uses less digits than its factorization.

967472640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14029 (or 14007 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 967472640 is about 31104.2222214284. Note that the first 5 decimals coincide. The cubic root of 967472640 is about 989.0378163018.

The spelling of 967472640 in words is "nine hundred sixty-seven million, four hundred seventy-two thousand, six hundred forty".