1915864488 has 160 divisors (see below), whose sum is σ = 5633179200. Its totient is φ = 610855344.

The previous prime is 1915864481. The next prime is 1915864493. The reversal of 1915864488 is 8844685191.

It is a happy number.

The cubic root of 1915864488 is 1242.

It is a perfect power (a cube), and thus also a powerful number.

1915864488 is a `hidden beast` number, since 1 + 9 + 158 + 6 + 4 + 488 = 666.

It is a super-5 number, since 5×1915864488⁵ (a number of 48 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1915864481) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 83298445 + ... + 83298467.

It is an arithmetic number, because the mean of its divisors is an integer number (35207370).

Almost surely, 2^1915864488 is an apocalyptic number.

1915864488 is a gapful number since it is divisible by the number (18) 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 1915864488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2816589600).

1915864488 is an abundant number, since it is smaller than the sum of its proper divisors (3717314712).

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

1915864488 is an frugal number, since it uses more digits than its factorization.

1915864488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 28 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 54.

The square root of 1915864488 is about 43770.5893037779.

The spelling of 1915864488 in words is "one billion, nine hundred fifteen million, eight hundred sixty-four thousand, four hundred eighty-eight".