36142680 has 128 divisors (see below), whose sum is σ = 131258880. Its totient is φ = 7772160.

The previous prime is 36142669. The next prime is 36142709. The reversal of 36142680 is 8624163.

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 31 ways as a sum of consecutive naturals, for example, 13015 + ... + 15545.

It is an arithmetic number, because the mean of its divisors is an integer number (1025460).

Almost surely, 2^36142680 is an apocalyptic number.

36142680 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 36142680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65629440).

36142680 is an abundant number, since it is smaller than the sum of its proper divisors (95116200).

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

36142680 is a wasteful number, since it uses less digits than its factorization.

36142680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2569 (or 2565 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 36142680 is about 6011.8782422800. The cubic root of 36142680 is about 330.6283711359.

The spelling of 36142680 in words is "thirty-six million, one hundred forty-two thousand, six hundred eighty".