7542864 has 90 divisors (see below), whose sum is σ = 24578970. Its totient is φ = 2153088.

The previous prime is 7542859. The next prime is 7542869. The reversal of 7542864 is 4682457.

It is an interprime number because it is at equal distance from previous prime (7542859) and next prime (7542869).

It can be written as a sum of positive squares in only one way, i.e., 6350400 + 1192464 = 2520^2 + 1092^2 .

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

It is a d-powerful number, because it can be written as 7⁸ + 5³ + 4² + 2 + 8⁵ + 6⁸ + 4⁸ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7542869) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6522 + ... + 7590.

Almost surely, 2^7542864 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 7542864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12289485).

7542864 is an abundant number, since it is smaller than the sum of its proper divisors (17036106).

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

7542864 is a wasteful number, since it uses less digits than its factorization.

7542864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1081 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 7542864 is about 2746.4274976777. The cubic root of 7542864 is about 196.1155780905.

The spelling of 7542864 in words is "seven million, five hundred forty-two thousand, eight hundred sixty-four".