967009400 has 48 divisors (see below), whose sum is σ = 2569485840. Its totient is φ = 331545600.

The previous prime is 967009361. The next prime is 967009403. The reversal of 967009400 is 4900769.

It is a happy number.

967009400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (967009403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 343961 + ... + 346760.

It is an arithmetic number, because the mean of its divisors is an integer number (53530955).

Almost surely, 2^967009400 is an apocalyptic number.

It is an amenable number.

967009400 is an abundant number, since it is smaller than the sum of its proper divisors (1602476440).

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

967009400 is a wasteful number, since it uses less digits than its factorization.

967009400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690744 (or 690735 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 967009400 is about 31096.7747523758. The cubic root of 967009400 is about 988.8799358604.

The spelling of 967009400 in words is "nine hundred sixty-seven million, nine thousand, four hundred".