46116600 has 96 divisors (see below), whose sum is σ = 144566640. Its totient is φ = 12160000.

The previous prime is 46116599. The next prime is 46116607. The reversal of 46116600 is 661164.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46116607) 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, 60220 + ... + 60980.

Almost surely, 2^46116600 is an apocalyptic number.

46116600 is a gapful number since it is divisible by the number (40) 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 46116600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72283320).

46116600 is an abundant number, since it is smaller than the sum of its proper divisors (98450040).

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

46116600 is a wasteful number, since it uses less digits than its factorization.

46116600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 46116600 is about 6790.9204088989. The cubic root of 46116600 is about 358.6072732475.

Adding to 46116600 its reverse (661164), we get a palindrome (46777764).

It can be divided in two parts, 4611 and 6600, that added together give a palindrome (11211).

The spelling of 46116600 in words is "forty-six million, one hundred sixteen thousand, six hundred".