49164624 has 80 divisors (see below), whose sum is σ = 143145600. Its totient is φ = 16153344.

The previous prime is 49164611. The next prime is 49164637. The reversal of 49164624 is 42646194.

49164624 is a `hidden beast` number, since 4 + 9 + 1 + 646 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (49164611) and next prime (49164637).

It is a super-2 number, since 2×49164624² = 4834320506122752, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30757 + ... + 32315.

It is an arithmetic number, because the mean of its divisors is an integer number (1789320).

Almost surely, 2^49164624 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 49164624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71572800).

49164624 is an abundant number, since it is smaller than the sum of its proper divisors (93980976).

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

49164624 is a wasteful number, since it uses less digits than its factorization.

49164624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1637 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 49164624 is about 7011.7489972189. The cubic root of 49164624 is about 366.3399153332.

The spelling of 49164624 in words is "forty-nine million, one hundred sixty-four thousand, six hundred twenty-four".