1931364864 has 320 divisors, whose sum is σ = 6723319680. Its totient is φ = 539688960.

The previous prime is 1931364863. The next prime is 1931364923. The reversal of 1931364864 is 4684631391.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1931364863) 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, 1976344 + ... + 1977320.

It is an arithmetic number, because the mean of its divisors is an integer number (21010374).

Almost surely, 2^1931364864 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 1931364864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3361659840).

1931364864 is an abundant number, since it is smaller than the sum of its proper divisors (4791954816).

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

1931364864 is a wasteful number, since it uses less digits than its factorization.

1931364864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1006 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 1931364864 is about 43947.2964356171. The cubic root of 1931364864 is about 1245.3404904110.

The spelling of 1931364864 in words is "one billion, nine hundred thirty-one million, three hundred sixty-four thousand, eight hundred sixty-four".