15416940 has 192 divisors, whose sum is σ = 55738368. Its totient is φ = 3091200.

The previous prime is 15416927. The next prime is 15416941. The reversal of 15416940 is 4961451.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 15416898 and 15416907.

It is not an unprimeable number, because it can be changed into a prime (15416941) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 217105 + ... + 217175.

It is an arithmetic number, because the mean of its divisors is an integer number (290304).

Almost surely, 2^15416940 is an apocalyptic number.

15416940 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 15416940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27869184).

15416940 is an abundant number, since it is smaller than the sum of its proper divisors (40321428).

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

15416940 is a wasteful number, since it uses less digits than its factorization.

15416940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 15416940 is about 3926.4411367038. The cubic root of 15416940 is about 248.8853845819.

The spelling of 15416940 in words is "fifteen million, four hundred sixteen thousand, nine hundred forty".