24749088 has 96 divisors (see below), whose sum is σ = 79986816. Its totient is φ = 6524928.

The previous prime is 24749083. The next prime is 24749099. The reversal of 24749088 is 88094742.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×24749088² = 1225034713663488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24749083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7320 + ... + 10152.

It is an arithmetic number, because the mean of its divisors is an integer number (833196).

Almost surely, 2^24749088 is an apocalyptic number.

24749088 is a gapful number since it is divisible by the number (28) 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 24749088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39993408).

24749088 is an abundant number, since it is smaller than the sum of its proper divisors (55237728).

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

24749088 is a wasteful number, since it uses less digits than its factorization.

24749088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2866 (or 2858 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 24749088 is about 4974.8455252400. The cubic root of 24749088 is about 291.4202546097.

Adding to 24749088 its sum of digits (42), we get a triangular number (24749130 = T₇₀₃₅).

The spelling of 24749088 in words is "twenty-four million, seven hundred forty-nine thousand, eighty-eight".