1357824864 has 192 divisors, whose sum is σ = 4009243392. Its totient is φ = 398899200.

The previous prime is 1357824857. The next prime is 1357824887. The reversal of 1357824864 is 4684287531.

It is a super-2 number, since 2×1357824864² = 3687376722593236992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 6892414 + ... + 6892610.

It is an arithmetic number, because the mean of its divisors is an integer number (20881476).

Almost surely, 2^1357824864 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 1357824864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004621696).

1357824864 is an abundant number, since it is smaller than the sum of its proper divisors (2651418528).

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

1357824864 is a wasteful number, since it uses less digits than its factorization.

1357824864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 381 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 48.

The square root of 1357824864 is about 36848.6752000666. The cubic root of 1357824864 is about 1107.3406739161.

The spelling of 1357824864 in words is "one billion, three hundred fifty-seven million, eight hundred twenty-four thousand, eight hundred sixty-four".