1013904864 has 252 divisors, whose sum is σ = 3485367144. Its totient is φ = 289360512.

The previous prime is 1013904839. The next prime is 1013904887. The reversal of 1013904864 is 4684093101.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1142629 + ... + 1143515.

It is an arithmetic number, because the mean of its divisors is an integer number (13830822).

Almost surely, 2^1013904864 is an apocalyptic number.

1013904864 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 1013904864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742683572).

1013904864 is an abundant number, since it is smaller than the sum of its proper divisors (2471462280).

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

1013904864 is an frugal number, since it uses more digits than its factorization.

1013904864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1013904864 is about 31841.8728092429. The cubic root of 1013904864 is about 1004.6136362921.

Adding to 1013904864 its reverse (4684093101), we get a palindrome (5697997965).

The spelling of 1013904864 in words is "one billion, thirteen million, nine hundred four thousand, eight hundred sixty-four".