1656507216 has 160 divisors (see below), whose sum is σ = 5354046208. Its totient is φ = 429649920.

The previous prime is 1656507199. The next prime is 1656507221. The reversal of 1656507216 is 6127056561.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263340 + ... + 269556.

Almost surely, 2^1656507216 is an apocalyptic number.

1656507216 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 1656507216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2677023104).

1656507216 is an abundant number, since it is smaller than the sum of its proper divisors (3697538992).

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

1656507216 is a wasteful number, since it uses less digits than its factorization.

1656507216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6309 (or 6303 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 1656507216 is about 40700.2114982220. The cubic root of 1656507216 is about 1183.2171177455.

The spelling of 1656507216 in words is "one billion, six hundred fifty-six million, five hundred seven thousand, two hundred sixteen".