36148680 has 96 divisors (see below), whose sum is σ = 121867200. Its totient is φ = 9637056.

The previous prime is 36148669. The next prime is 36148691. The reversal of 36148680 is 8684163.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (36148669) and next prime (36148691).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7861 + ... + 11579.

It is an arithmetic number, because the mean of its divisors is an integer number (1269450).

Almost surely, 2^36148680 is an apocalyptic number.

36148680 is a gapful number since it is divisible by the number (30) 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 36148680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60933600).

36148680 is an abundant number, since it is smaller than the sum of its proper divisors (85718520).

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

36148680 is a wasteful number, since it uses less digits than its factorization.

36148680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3745 (or 3729 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 36148680 is about 6012.3772336739. The cubic root of 36148680 is about 330.6466658544.

The spelling of 36148680 in words is "thirty-six million, one hundred forty-eight thousand, six hundred eighty".