36942080 has 216 divisors, whose sum is σ = 111847680. Its totient is φ = 11612160.

The previous prime is 36942079. The next prime is 36942089. The reversal of 36942080 is 8024963.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36942089) 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, 1191665 + ... + 1191695.

Almost surely, 2^36942080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36942080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55923840).

36942080 is an abundant number, since it is smaller than the sum of its proper divisors (74905600).

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

36942080 is a wasteful number, since it uses less digits than its factorization.

36942080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 36942080 is about 6077.9996709444. Note that the first 3 decimals coincide. The cubic root of 36942080 is about 333.0482184202.

36942080 divided by its sum of digits (32) gives a triangular number (1154440 = T₁₅₁₉).

The spelling of 36942080 in words is "thirty-six million, nine hundred forty-two thousand, eighty".