621995040 has 288 divisors, whose sum is σ = 2209452336. Its totient is φ = 159252480.

The previous prime is 621995029. The next prime is 621995041. The reversal of 621995040 is 40599126.

621995040 is a `hidden beast` number, since 62 + 1 + 99 + 504 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 103795344 + 518199696 = 10188^2 + 22764^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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 = 621994986 and 621995004.

It is not an unprimeable number, because it can be changed into a prime (621995041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6412272 + ... + 6412368.

Almost surely, 2^621995040 is an apocalyptic number.

621995040 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 621995040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104726168).

621995040 is an abundant number, since it is smaller than the sum of its proper divisors (1587457296).

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

621995040 is a wasteful number, since it uses less digits than its factorization.

621995040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 621995040 is about 24939.8283875411. The cubic root of 621995040 is about 853.6155289555.

The spelling of 621995040 in words is "six hundred twenty-one million, nine hundred ninety-five thousand, forty".