53966700 has 108 divisors (see below), whose sum is σ = 172103568. Its totient is φ = 14140800.

The previous prime is 53966641. The next prime is 53966711. The reversal of 53966700 is 766935.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 54409 + ... + 55391.

Almost surely, 2^53966700 is an apocalyptic number.

53966700 is a gapful number since it is divisible by the number (50) 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 53966700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86051784).

53966700 is an abundant number, since it is smaller than the sum of its proper divisors (118136868).

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

53966700 is a wasteful number, since it uses less digits than its factorization.

53966700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 53966700 is about 7346.2031009223. The cubic root of 53966700 is about 377.8986038609.

The spelling of 53966700 in words is "fifty-three million, nine hundred sixty-six thousand, seven hundred".