966122400 has 72 divisors (see below), whose sum is σ = 3144736224. Its totient is φ = 257632000.

The previous prime is 966122357. The next prime is 966122413. The reversal of 966122400 is 4221669.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198876 + ... + 203675.

It is an arithmetic number, because the mean of its divisors is an integer number (43676892).

Almost surely, 2^966122400 is an apocalyptic number.

It is an amenable number.

966122400 is an abundant number, since it is smaller than the sum of its proper divisors (2178613824).

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

966122400 is a wasteful number, since it uses less digits than its factorization.

966122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402574 (or 402561 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 966122400 is about 31082.5095511929. The cubic root of 966122400 is about 988.5774897044.

The spelling of 966122400 in words is "nine hundred sixty-six million, one hundred twenty-two thousand, four hundred".