1231964160 has 384 divisors, whose sum is σ = 4783484160. Its totient is φ = 264241152.

The previous prime is 1231964159. The next prime is 1231964179. The reversal of 1231964160 is 614691321.

It is a tau number, because it is divible by the number of its divisors (384).

It is a zygodrome in base 8.

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, 3655512 + ... + 3655848.

It is an arithmetic number, because the mean of its divisors is an integer number (12456990).

Almost surely, 2^1231964160 is an apocalyptic number.

1231964160 is a gapful number since it is divisible by the number (10) 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 1231964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2391742080).

1231964160 is an abundant number, since it is smaller than the sum of its proper divisors (3551520000).

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

1231964160 is a wasteful number, since it uses less digits than its factorization.

1231964160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 1231964160 is about 35099.3470024729. The cubic root of 1231964160 is about 1072.0112867305.

The spelling of 1231964160 in words is "one billion, two hundred thirty-one million, nine hundred sixty-four thousand, one hundred sixty".