10554624 has 90 divisors (see below), whose sum is σ = 31533810. Its totient is φ = 3511296.

The previous prime is 10554619. The next prime is 10554629. The reversal of 10554624 is 42645501.

It is an interprime number because it is at equal distance from previous prime (10554619) and next prime (10554629).

It can be written as a sum of positive squares in only one way, i.e., 10036224 + 518400 = 3168^2 + 720^2 .

It is a super-2 number, since 2×10554624² = 222800175562752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10554629) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 20482 + ... + 20990.

Almost surely, 2^10554624 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 10554624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15766905).

10554624 is an abundant number, since it is smaller than the sum of its proper divisors (20979186).

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

10554624 is an frugal number, since it uses more digits than its factorization.

10554624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 10554624 is about 3248.7880817314. The cubic root of 10554624 is about 219.3550255756.

It can be divided in two parts, 105546 and 24, that added together give a triangular number (105570 = T₄₅₉).

The spelling of 10554624 in words is "ten million, five hundred fifty-four thousand, six hundred twenty-four".