16952040 has 216 divisors, whose sum is σ = 66223170. Its totient is φ = 3749760.

The previous prime is 16952029. The next prime is 16952041. The reversal of 16952040 is 4025961.

It can be written as a sum of positive squares in only one way, i.e., 15256836 + 1695204 = 3906^2 + 1302^2 .

It is a junction number, because it is equal to n+sod(n) for n = 16951995 and 16952013.

It is not an unprimeable number, because it can be changed into a prime (16952041) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 546825 + ... + 546855.

Almost surely, 2^16952040 is an apocalyptic number.

16952040 is a gapful number since it is divisible by the number (10) 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 16952040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33111585).

16952040 is an abundant number, since it is smaller than the sum of its proper divisors (49271130).

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

16952040 is a wasteful number, since it uses less digits than its factorization.

16952040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 16952040 is about 4117.2855135392. The cubic root of 16952040 is about 256.8861300166.

The spelling of 16952040 in words is "sixteen million, nine hundred fifty-two thousand, forty".