56191800 has 192 divisors, whose sum is σ = 211057920. Its totient is φ = 12072960.

The previous prime is 56191787. The next prime is 56191813. The reversal of 56191800 is 819165.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (56191787) and next prime (56191813).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71007 + ... + 71793.

It is an arithmetic number, because the mean of its divisors is an integer number (1099260).

Almost surely, 2^56191800 is an apocalyptic number.

56191800 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 56191800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105528960).

56191800 is an abundant number, since it is smaller than the sum of its proper divisors (154866120).

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

56191800 is a wasteful number, since it uses less digits than its factorization.

56191800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 56191800 is about 7496.1189958538. The cubic root of 56191800 is about 383.0225247906.

The spelling of 56191800 in words is "fifty-six million, one hundred ninety-one thousand, eight hundred".