1616601888 has 360 divisors, whose sum is σ = 5450140080. Its totient is φ = 466041600.

The previous prime is 1616601887. The next prime is 1616601907. The reversal of 1616601888 is 8881066161.

It is a super-2 number, since 2×1616601888² = 5226803328570329088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1616601881) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 27400003 + ... + 27400061.

It is an arithmetic number, because the mean of its divisors is an integer number (15139278).

Almost surely, 2^1616601888 is an apocalyptic number.

1616601888 is a gapful number since it is divisible by the number (18) 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 1616601888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2725070040).

1616601888 is an abundant number, since it is smaller than the sum of its proper divisors (3833538192).

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

1616601888 is a wasteful number, since it uses less digits than its factorization.

1616601888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 1616601888 is about 40206.9880493429. The cubic root of 1616601888 is about 1173.6385348733.

The spelling of 1616601888 in words is "one billion, six hundred sixteen million, six hundred one thousand, eight hundred eighty-eight".