1611056952 has 288 divisors, whose sum is σ = 5080093200. Its totient is φ = 476098560.

The previous prime is 1611056939. The next prime is 1611056957. The reversal of 1611056952 is 2596501161.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1611056957) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39294052 + ... + 39294092.

Almost surely, 2^1611056952 is an apocalyptic number.

1611056952 is a gapful number since it is divisible by the number (12) 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 1611056952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540046600).

1611056952 is an abundant number, since it is smaller than the sum of its proper divisors (3469036248).

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

1611056952 is a wasteful number, since it uses less digits than its factorization.

1611056952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 1611056952 is about 40137.9739398989. The cubic root of 1611056952 is about 1172.2951397474.

The spelling of 1611056952 in words is "one billion, six hundred eleven million, fifty-six thousand, nine hundred fifty-two".