1611969408 has 384 divisors, whose sum is σ = 5623300800. Its totient is φ = 433520640.

The previous prime is 1611969391. The next prime is 1611969419. The reversal of 1611969408 is 8049691161.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14265160 + ... + 14265272.

Almost surely, 2^1611969408 is an apocalyptic number.

1611969408 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 1611969408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2811650400).

1611969408 is an abundant number, since it is smaller than the sum of its proper divisors (4011331392).

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

1611969408 is a wasteful number, since it uses less digits than its factorization.

1611969408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 1611969408 is about 40149.3388239458. The cubic root of 1611969408 is about 1172.5164159833.

The spelling of 1611969408 in words is "one billion, six hundred eleven million, nine hundred sixty-nine thousand, four hundred eight".