36098640 has 120 divisors (see below), whose sum is σ = 122341128. Its totient is φ = 9538560.

The previous prime is 36098639. The next prime is 36098659. The reversal of 36098640 is 4689063.

36098640 is a `hidden beast` number, since 3 + 6 + 0 + 9 + 8 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1382976 + 34715664 = 1176^2 + 5892^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×36098640² = 2606223619699200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 36098595 and 36098604.

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, 130182 + ... + 130458.

Almost surely, 2^36098640 is an apocalyptic number.

36098640 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 36098640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61170564).

36098640 is an abundant number, since it is smaller than the sum of its proper divisors (86242488).

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

36098640 is a wasteful number, since it uses less digits than its factorization.

36098640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 36098640 is about 6008.2143770009. The cubic root of 36098640 is about 330.4940258906.

The spelling of 36098640 in words is "thirty-six million, ninety-eight thousand, six hundred forty".