161764416 has 168 divisors, whose sum is σ = 512417568. Its totient is φ = 48787200.

The previous prime is 161764391. The next prime is 161764441. The reversal of 161764416 is 614467161.

It is a happy number.

161764416 is a `hidden beast` number, since 1 + 6 + 1 + 7 + 644 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (161764391) and next prime (161764441).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 766551 + ... + 766761.

Almost surely, 2^161764416 is an apocalyptic number.

161764416 is a gapful number since it is divisible by the number (16) 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 161764416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256208784).

161764416 is an abundant number, since it is smaller than the sum of its proper divisors (350653152).

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

161764416 is a wasteful number, since it uses less digits than its factorization.

161764416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 227 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 161764416 is about 12718.6640807909. The cubic root of 161764416 is about 544.8717999388.

The spelling of 161764416 in words is "one hundred sixty-one million, seven hundred sixty-four thousand, four hundred sixteen".