652751040 has 448 divisors, whose sum is σ = 2401726464. Its totient is φ = 149225472.

The previous prime is 652751027. The next prime is 652751041. The reversal of 652751040 is 40157256.

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 = 652750989 and 652751007.

It is not an unprimeable number, because it can be changed into a prime (652751041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13888297 + ... + 13888343.

Almost surely, 2^652751040 is an apocalyptic number.

652751040 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 652751040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200863232).

652751040 is an abundant number, since it is smaller than the sum of its proper divisors (1748975424).

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

652751040 is a wasteful number, since it uses less digits than its factorization.

652751040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 652751040 is about 25548.9929351433. The cubic root of 652751040 is about 867.4594665290.

The spelling of 652751040 in words is "six hundred fifty-two million, seven hundred fifty-one thousand, forty".