1616120640 has 224 divisors, whose sum is σ = 6037234560. Its totient is φ = 405577728.

The previous prime is 1616120537. The next prime is 1616120663. The reversal of 1616120640 is 460216161.

1616120640 is a `hidden beast` number, since 1 + 6 + 1 + 6 + 12 + 0 + 640 = 666.

It is a super-2 number, since 2×1616120640² = 5223691846068019200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 141379 + ... + 152381.

It is an arithmetic number, because the mean of its divisors is an integer number (26951940).

Almost surely, 2^1616120640 is an apocalyptic number.

1616120640 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 1616120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3018617280).

1616120640 is an abundant number, since it is smaller than the sum of its proper divisors (4421113920).

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

1616120640 is a wasteful number, since it uses less digits than its factorization.

1616120640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11046 (or 11030 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1616120640 is about 40201.0029725628. The cubic root of 1616120640 is about 1173.5220627314.

The spelling of 1616120640 in words is "one billion, six hundred sixteen million, one hundred twenty thousand, six hundred forty".