651088440 has 192 divisors, whose sum is σ = 2256284160. Its totient is φ = 162263040.

The previous prime is 651088433. The next prime is 651088463. The reversal of 651088440 is 44880156.

651088440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 651088395 and 651088404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1168642 + ... + 1169198.

It is an arithmetic number, because the mean of its divisors is an integer number (11751480).

Almost surely, 2^651088440 is an apocalyptic number.

651088440 is a gapful number since it is divisible by the number (60) 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 651088440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128142080).

651088440 is an abundant number, since it is smaller than the sum of its proper divisors (1605195720).

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

651088440 is a wasteful number, since it uses less digits than its factorization.

651088440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 651088440 is about 25516.4347039315. The cubic root of 651088440 is about 866.7223481648.

The spelling of 651088440 in words is "six hundred fifty-one million, eighty-eight thousand, four hundred forty".