56067100 has 72 divisors (see below), whose sum is σ = 133741440. Its totient is φ = 20306880.

The previous prime is 56067073. The next prime is 56067101. The reversal of 56067100 is 176065.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56067101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43059 + ... + 44341.

It is an arithmetic number, because the mean of its divisors is an integer number (1857520).

Almost surely, 2^56067100 is an apocalyptic number.

56067100 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 56067100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66870720).

56067100 is an abundant number, since it is smaller than the sum of its proper divisors (77674340).

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

56067100 is a wasteful number, since it uses less digits than its factorization.

56067100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 56067100 is about 7487.7967386942. The cubic root of 56067100 is about 382.7389823280.

The spelling of 56067100 in words is "fifty-six million, sixty-seven thousand, one hundred".