1230893664 has 192 divisors, whose sum is σ = 4338593280. Its totient is φ = 295096320.

The previous prime is 1230893647. The next prime is 1230893681. The reversal of 1230893664 is 4663980321.

It is an interprime number because it is at equal distance from previous prime (1230893647) and next prime (1230893681).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 89692 + ... + 102500.

It is an arithmetic number, because the mean of its divisors is an integer number (22596840).

Almost surely, 2^1230893664 is an apocalyptic number.

1230893664 is a gapful number since it is divisible by the number (14) 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 1230893664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2169296640).

1230893664 is an abundant number, since it is smaller than the sum of its proper divisors (3107699616).

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

1230893664 is a wasteful number, since it uses less digits than its factorization.

1230893664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12853 (or 12845 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 1230893664 is about 35084.0941738560. The cubic root of 1230893664 is about 1071.7006942680.

The spelling of 1230893664 in words is "one billion, two hundred thirty million, eight hundred ninety-three thousand, six hundred sixty-four".