36496980 has 120 divisors (see below), whose sum is σ = 123370632. Its totient is φ = 8978688.

The previous prime is 36496963. The next prime is 36497047. The reversal of 36496980 is 8969463.

It can be written as a sum of positive squares in 4 ways, for example, as 352836 + 36144144 = 594^2 + 6012^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20194 + ... + 21926.

Almost surely, 2^36496980 is an apocalyptic number.

36496980 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 36496980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61685316).

36496980 is an abundant number, since it is smaller than the sum of its proper divisors (86873652).

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

36496980 is a wasteful number, since it uses less digits than its factorization.

36496980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 36496980 is about 6041.2730446488. The cubic root of 36496980 is about 331.7052229390.

It can be divided in two parts, 364 and 96980, that added together give a square (97344 = 312²).

The spelling of 36496980 in words is "thirty-six million, four hundred ninety-six thousand, nine hundred eighty".