625416 has 64 divisors (see below), whose sum is σ = 1797120. Its totient is φ = 179520.

The previous prime is 625409. The next prime is 625451. The reversal of 625416 is 614526.

It is a super-2 number, since 2×625416² = 782290346112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 6⁷ + 2 + 4⁸ + 5 + 1 + 6⁷ .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6021 + ... + 6123.

It is an arithmetic number, because the mean of its divisors is an integer number (28080).

2⁶²⁵⁴¹⁶ is an apocalyptic number.

625416 is a gapful number since it is divisible by the number (66) 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 625416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898560).

625416 is an abundant number, since it is smaller than the sum of its proper divisors (1171704).

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

625416 is a wasteful number, since it uses less digits than its factorization.

625416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 142 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 625416 is about 790.8324727779. The cubic root of 625416 is about 85.5177624599.

The spelling of 625416 in words is "six hundred twenty-five thousand, four hundred sixteen".