18952416 has 216 divisors, whose sum is σ = 67223520. Its totient is φ = 5031936.

The previous prime is 18952403. The next prime is 18952471. The reversal of 18952416 is 61425981.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

Its product of digits (17280) is a multiple of the sum of its prime divisors (108).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 239865 + ... + 239943.

It is an arithmetic number, because the mean of its divisors is an integer number (311220).

Almost surely, 2^18952416 is an apocalyptic number.

18952416 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 18952416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33611760).

18952416 is an abundant number, since it is smaller than the sum of its proper divisors (48271104).

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

18952416 is a wasteful number, since it uses less digits than its factorization.

18952416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 108 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 18952416 is about 4353.4372626696. The cubic root of 18952416 is about 266.6172186092.

The spelling of 18952416 in words is "eighteen million, nine hundred fifty-two thousand, four hundred sixteen".