1611763972 has 96 divisors (see below), whose sum is σ = 3615494400. Its totient is φ = 611476992.

The previous prime is 1611763949. The next prime is 1611763987. The reversal of 1611763972 is 2793671161.

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, 1889098 + ... + 1889950.

It is an arithmetic number, because the mean of its divisors is an integer number (37661400).

Almost surely, 2^1611763972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1611763972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807747200).

1611763972 is an abundant number, since it is smaller than the sum of its proper divisors (2003730428).

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

1611763972 is a wasteful number, since it uses less digits than its factorization.

1611763972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1083 counting only the distinct ones).

The product of its digits is 95256, while the sum is 43.

The square root of 1611763972 is about 40146.7803441322. The cubic root of 1611763972 is about 1172.4666037651.

It can be divided in two parts, 16117 and 63972, that added together give a square (80089 = 283²).

The spelling of 1611763972 in words is "one billion, six hundred eleven million, seven hundred sixty-three thousand, nine hundred seventy-two".