1656078732 has 288 divisors, whose sum is σ = 5592996864. Its totient is φ = 399974400.

The previous prime is 1656078701. The next prime is 1656078733. The reversal of 1656078732 is 2378706561.

1656078732 is a `hidden beast` number, since 1 + 6 + 5 + 607 + 8 + 7 + 32 = 666.

It is not an unprimeable number, because it can be changed into a prime (1656078733) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5324857 + ... + 5325167.

It is an arithmetic number, because the mean of its divisors is an integer number (19420128).

Almost surely, 2^1656078732 is an apocalyptic number.

1656078732 is a gapful number since it is divisible by the number (12) 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 1656078732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2796498432).

1656078732 is an abundant number, since it is smaller than the sum of its proper divisors (3936918132).

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

1656078732 is a wasteful number, since it uses less digits than its factorization.

1656078732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 1656078732 is about 40694.9472539282. The cubic root of 1656078732 is about 1183.1150891481.

The spelling of 1656078732 in words is "one billion, six hundred fifty-six million, seventy-eight thousand, seven hundred thirty-two".