1233630864 has 160 divisors (see below), whose sum is σ = 3679764480. Its totient is φ = 395280000.

The previous prime is 1233630821. The next prime is 1233630907. The reversal of 1233630864 is 4680363321.

1233630864 is a `hidden beast` number, since 12 + 3 + 3 + 630 + 8 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1233630821) and next prime (1233630907).

It is a super-2 number, since 2×1233630864² = 3043690217226772992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3361209 + ... + 3361575.

It is an arithmetic number, because the mean of its divisors is an integer number (22998528).

Almost surely, 2^1233630864 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 1233630864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1839882240).

1233630864 is an abundant number, since it is smaller than the sum of its proper divisors (2446133616).

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

1233630864 is a wasteful number, since it uses less digits than its factorization.

1233630864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 1233630864 is about 35123.0816415644. The cubic root of 1233630864 is about 1072.4945043486.

The spelling of 1233630864 in words is "one billion, two hundred thirty-three million, six hundred thirty thousand, eight hundred sixty-four".