40320630 has 144 divisors (see below), whose sum is σ = 125483904. Its totient is φ = 8951040.

The previous prime is 40320629. The next prime is 40320661. The reversal of 40320630 is 3602304.

40320630 is a `hidden beast` number, since 4 + 0 + 32 + 0 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 180699 + ... + 180921.

It is an arithmetic number, because the mean of its divisors is an integer number (871416).

Almost surely, 2^40320630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40320630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62741952).

40320630 is an abundant number, since it is smaller than the sum of its proper divisors (85163274).

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

40320630 is a wasteful number, since it uses less digits than its factorization.

40320630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 40320630 is about 6349.8527541983. The cubic root of 40320630 is about 342.9065412455.

Adding to 40320630 its reverse (3602304), we get a palindrome (43922934).

It can be divided in two parts, 40320 and 630, that multiplied together give a square (25401600 = 5040²).

The spelling of 40320630 in words is "forty million, three hundred twenty thousand, six hundred thirty".