1357920 has 144 divisors (see below), whose sum is σ = 4953312. Its totient is φ = 337920.

The previous prime is 1357919. The next prime is 1357927. The reversal of 1357920 is 297531.

It is a tau number, because it is divible by the number of its divisors (144).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1357927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33100 + ... + 33140.

It is an arithmetic number, because the mean of its divisors is an integer number (34398).

2^1357920 is an apocalyptic number.

1357920 is a gapful number since it is divisible by the number (10) 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 1357920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476656).

1357920 is an abundant number, since it is smaller than the sum of its proper divisors (3595392).

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

1357920 is a wasteful number, since it uses less digits than its factorization.

1357920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 1357920 is about 1165.2982450858. The cubic root of 1357920 is about 110.7366535254.

The spelling of 1357920 in words is "one million, three hundred fifty-seven thousand, nine hundred twenty".