30966000 has 160 divisors (see below), whose sum is σ = 107784768. Its totient is φ = 7603200.

The previous prime is 30965971. The next prime is 30966007. The reversal of 30966000 is 66903.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30966007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77802 + ... + 78198.

Almost surely, 2^30966000 is an apocalyptic number.

30966000 is a gapful number since it is divisible by the number (30) 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 30966000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53892384).

30966000 is an abundant number, since it is smaller than the sum of its proper divisors (76818768).

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

30966000 is a wasteful number, since it uses less digits than its factorization.

30966000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 30966000 is about 5564.7102350437. The cubic root of 30966000 is about 314.0231770524.

The spelling of 30966000 in words is "thirty million, nine hundred sixty-six thousand".