1653787746 has 64 divisors (see below), whose sum is σ = 3974745600. Its totient is φ = 506677248.

The previous prime is 1653787741. The next prime is 1653787753. The reversal of 1653787746 is 6477873561.

1653787746 is a `hidden beast` number, since 165 + 378 + 77 + 46 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1653787692 and 1653787701.

It is not an unprimeable number, because it can be changed into a prime (1653787741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162850 + ... + 172706.

It is an arithmetic number, because the mean of its divisors is an integer number (62105400).

Almost surely, 2^1653787746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1653787746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1987372800).

1653787746 is an abundant number, since it is smaller than the sum of its proper divisors (2320957854).

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

1653787746 is a wasteful number, since it uses less digits than its factorization.

1653787746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10120 (or 10114 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 54.

The square root of 1653787746 is about 40666.7892265913. The cubic root of 1653787746 is about 1182.5692715090.

The spelling of 1653787746 in words is "one billion, six hundred fifty-three million, seven hundred eighty-seven thousand, seven hundred forty-six".