621520000 has 160 divisors (see below), whose sum is σ = 1641833820. Its totient is φ = 233472000.

The previous prime is 621519991. The next prime is 621520021. The reversal of 621520000 is 25126.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 2903616 + 618616384 = 1704^2 + 24872^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×621520000² = 772574220800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1359772 + ... + 1360228.

Almost surely, 2^621520000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 621520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820916910).

621520000 is an abundant number, since it is smaller than the sum of its proper divisors (1020313820).

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

621520000 is an equidigital number, since it uses as much as digits as its factorization.

621520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 621520000 is about 24930.3028461349. The cubic root of 621520000 is about 853.3981613075.

Adding to 621520000 its reverse (25126), we get a palindrome (621545126).

The spelling of 621520000 in words is "six hundred twenty-one million, five hundred twenty thousand".