1357824090 has 128 divisors (see below), whose sum is σ = 3940503552. Its totient is φ = 292723200.

The previous prime is 1357824079. The next prime is 1357824161. The reversal of 1357824090 is 904287531.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 350665 + ... + 354515.

It is an arithmetic number, because the mean of its divisors is an integer number (30785184).

Almost surely, 2^1357824090 is an apocalyptic number.

1357824090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1357824090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1970251776).

1357824090 is an abundant number, since it is smaller than the sum of its proper divisors (2582679462).

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

1357824090 is a wasteful number, since it uses less digits than its factorization.

1357824090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3964.

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 1357824090 is about 36848.6646976522. The cubic root of 1357824090 is about 1107.3404635105.

The spelling of 1357824090 in words is "one billion, three hundred fifty-seven million, eight hundred twenty-four thousand, ninety".