967130400 has 288 divisors, whose sum is σ = 3359784960. Its totient is φ = 240952320.

The previous prime is 967130393. The next prime is 967130401. The reversal of 967130400 is 4031769.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (967130401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5791117 + ... + 5791283.

It is an arithmetic number, because the mean of its divisors is an integer number (11665920).

Almost surely, 2^967130400 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 967130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679892480).

967130400 is an abundant number, since it is smaller than the sum of its proper divisors (2392654560).

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

967130400 is a wasteful number, since it uses less digits than its factorization.

967130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 967130400 is about 31098.7202309034. The cubic root of 967130400 is about 988.9211796794.

The spelling of 967130400 in words is "nine hundred sixty-seven million, one hundred thirty thousand, four hundred".