1019364864 has 160 divisors (see below), whose sum is σ = 3134799360. Its totient is φ = 288325632.

The previous prime is 1019364851. The next prime is 1019364881. The reversal of 1019364864 is 4684639101.

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 15 ways as a sum of consecutive naturals, for example, 1214557 + ... + 1215395.

It is an arithmetic number, because the mean of its divisors is an integer number (19592496).

Almost surely, 2^1019364864 is an apocalyptic number.

1019364864 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 1019364864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567399680).

1019364864 is an abundant number, since it is smaller than the sum of its proper divisors (2115434496).

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

1019364864 is an equidigital number, since it uses as much as digits as its factorization.

1019364864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 1019364864 is about 31927.4938571758. The cubic root of 1019364864 is about 1006.4137307792.

It can be divided in two parts, 10193 and 64864, that added together give a palindrome (75057).

The spelling of 1019364864 in words is "one billion, nineteen million, three hundred sixty-four thousand, eight hundred sixty-four".