63505416 has 64 divisors (see below), whose sum is σ = 172972800. Its totient is φ = 19312128.

The previous prime is 63505373. The next prime is 63505427. The reversal of 63505416 is 61450536.

It is a super-2 number, since 2×63505416² = 8065875722666112, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26625 + ... + 28911.

It is an arithmetic number, because the mean of its divisors is an integer number (2702700).

Almost surely, 2^63505416 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 63505416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86486400).

63505416 is an abundant number, since it is smaller than the sum of its proper divisors (109467384).

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

63505416 is a wasteful number, since it uses less digits than its factorization.

63505416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2398 (or 2394 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 63505416 is about 7969.0285480728. The cubic root of 63505416 is about 398.9669509878.

The spelling of 63505416 in words is "sixty-three million, five hundred five thousand, four hundred sixteen".