52634736 has 240 divisors, whose sum is σ = 189416448. Its totient is φ = 13248000.

The previous prime is 52634723. The next prime is 52634749. The reversal of 52634736 is 63743625.

52634736 = T₂₃ + T₂₄ + ... + T₆₈₀.

It is an interprime number because it is at equal distance from previous prime (52634723) and next prime (52634749).

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

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

Its product of digits (90720) is a multiple of the sum of its prime factors (180).

It is a self number, because there is not a number n which added to its sum of digits gives 52634736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 521086 + ... + 521186.

Almost surely, 2^52634736 is an apocalyptic number.

52634736 is a gapful number since it is divisible by the number (56) 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 52634736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94708224).

52634736 is an abundant number, since it is smaller than the sum of its proper divisors (136781712).

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

52634736 is a wasteful number, since it uses less digits than its factorization.

52634736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 171 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 52634736 is about 7254.9800826742. The cubic root of 52634736 is about 374.7636697593.

Subtracting 52634736 from its reverse (63743625), we obtain a square (11108889 = 3333²).

It can be divided in two parts, 5263 and 4736, that added together give a palindrome (9999).

The spelling of 52634736 in words is "fifty-two million, six hundred thirty-four thousand, seven hundred thirty-six".