1656744096 has 144 divisors (see below), whose sum is σ = 5279287104. Its totient is φ = 452745216.

The previous prime is 1656744091. The next prime is 1656744109. The reversal of 1656744096 is 6904476561.

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

It is not an unprimeable number, because it can be changed into a prime (1656744091) 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, 100536 + ... + 115848.

It is an arithmetic number, because the mean of its divisors is an integer number (36661716).

Almost surely, 2^1656744096 is an apocalyptic number.

1656744096 is a gapful number since it is divisible by the number (16) 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 1656744096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2639643552).

1656744096 is an abundant number, since it is smaller than the sum of its proper divisors (3622543008).

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

1656744096 is a wasteful number, since it uses less digits than its factorization.

1656744096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15363 (or 15348 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 1656744096 is about 40703.1214527830. The cubic root of 1656744096 is about 1183.2735149466.

The spelling of 1656744096 in words is "one billion, six hundred fifty-six million, seven hundred forty-four thousand, ninety-six".